Seynnaeve, Tim; Tairi, Nafie Universal equations for maximal isotropic Grassmannians. (English) Zbl 07740064 J. Symb. Comput. 121, Article ID 102260, 23 p. (2024). MSC: 14M15 51M35 15A75 PDFBibTeX XMLCite \textit{T. Seynnaeve} and \textit{N. Tairi}, J. Symb. Comput. 121, Article ID 102260, 23 p. (2024; Zbl 07740064) Full Text: DOI arXiv
Bokelavadze, T.; Kvirikashvili, T. Projective geometries over lattices and their morphisms. (English. Russian original) Zbl 07800722 J. Math. Sci., New York 275, No. 6, 683-687 (2023); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 177, 34-38 (2020). Reviewer: Dirk Keppens (Gent) MSC: 51C05 51A10 16D40 PDFBibTeX XMLCite \textit{T. Bokelavadze} and \textit{T. Kvirikashvili}, J. Math. Sci., New York 275, No. 6, 683--687 (2023; Zbl 07800722); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 177, 34--38 (2020) Full Text: DOI
Frembs, Markus; Döring, Andreas Gleason’s theorem for composite systems. (English) Zbl 07760615 J. Phys. A, Math. Theor. 56, No. 44, Article ID 445303, 14 p. (2023). MSC: 81P05 62H20 46L10 81P15 51A05 46C05 PDFBibTeX XMLCite \textit{M. Frembs} and \textit{A. Döring}, J. Phys. A, Math. Theor. 56, No. 44, Article ID 445303, 14 p. (2023; Zbl 07760615) Full Text: DOI arXiv OA License
Valette, Alain J. The exceptional simple Lie group \(F_{4(-20)}\), after J. Tits. (English) Zbl 07760470 Innov. Incidence Geom. 20, No. 2-3, 599-610 (2023). MSC: 22E15 17A35 51A10 51A45 PDFBibTeX XMLCite \textit{A. J. Valette}, Innov. Incidence Geom. 20, No. 2--3, 599--610 (2023; Zbl 07760470) Full Text: DOI arXiv
Cuypers, Hans; Fleischmann, Yael A geometric characterization of the symplectic Lie algebra. (English) Zbl 07760457 Innov. Incidence Geom. 20, No. 2-3, 223-245 (2023). MSC: 16W10 17B60 51A50 51E24 51A45 PDFBibTeX XMLCite \textit{H. Cuypers} and \textit{Y. Fleischmann}, Innov. Incidence Geom. 20, No. 2--3, 223--245 (2023; Zbl 07760457) Full Text: DOI arXiv
Wang, Bao Pentagram-type maps and the discrete KP equation. (English) Zbl 07752348 J. Nonlinear Sci. 33, No. 6, Paper No. 101, 32 p. (2023). MSC: 37J70 39A36 37J39 37K60 37K25 51A05 51N15 13F60 PDFBibTeX XMLCite \textit{B. Wang}, J. Nonlinear Sci. 33, No. 6, Paper No. 101, 32 p. (2023; Zbl 07752348) Full Text: DOI
Borot, Gaëtan; Do, Norman; Karev, Maksim; Lewański, Danilo; Moskovsky, Ellena Double Hurwitz numbers: polynomiality, topological recursion and intersection theory. (English) Zbl 07735151 Math. Ann. 387, No. 1-2, 179-243 (2023). Reviewer: Letterio Gatto (Torino) MSC: 14N10 14H30 51P05 05A15 81R10 PDFBibTeX XMLCite \textit{G. Borot} et al., Math. Ann. 387, No. 1--2, 179--243 (2023; Zbl 07735151) Full Text: DOI arXiv
Honold, Thomas; Landjev, Ivan On homogeneous arcs and linear codes over finite chain rings. (English) Zbl 1514.51001 Appl. Algebra Eng. Commun. Comput. 34, No. 3, 359-375 (2023). MSC: 51C05 51E22 51E05 05B25 05B30 16P10 PDFBibTeX XMLCite \textit{T. Honold} and \textit{I. Landjev}, Appl. Algebra Eng. Commun. Comput. 34, No. 3, 359--375 (2023; Zbl 1514.51001) Full Text: DOI
Göloğlu, Faruk; Kölsch, Lukas An exponential bound on the number of non-isotopic commutative semifields. (English) Zbl 1519.12008 Trans. Am. Math. Soc. 376, No. 3, 1683-1716 (2023). Reviewer: Norbert Knarr (Stuttgart) MSC: 12K10 17A35 51A35 51A40 PDFBibTeX XMLCite \textit{F. Göloğlu} and \textit{L. Kölsch}, Trans. Am. Math. Soc. 376, No. 3, 1683--1716 (2023; Zbl 1519.12008) Full Text: DOI arXiv
De Schepper, Anneleen Geometric characterisation of subvarieties of \(\mathcal{E}_6(\mathbb{K})\) related to the ternions and sextonions. (English) Zbl 1508.14061 Adv. Geom. 23, No. 1, 69-106 (2023). Reviewer: Hans-Peter Schröcker (Innsbruck) MSC: 14N05 51A45 51B25 51C05 51E24 PDFBibTeX XMLCite \textit{A. De Schepper}, Adv. Geom. 23, No. 1, 69--106 (2023; Zbl 1508.14061) Full Text: DOI arXiv
Superdock, Matt Simplicial complexes from finite projective planes and colored configurations. (English) Zbl 1500.51001 Discrete Math. 346, No. 1, Article ID 113117, 17 p. (2023). MSC: 51E15 57M50 16G99 05B30 PDFBibTeX XMLCite \textit{M. Superdock}, Discrete Math. 346, No. 1, Article ID 113117, 17 p. (2023; Zbl 1500.51001) Full Text: DOI arXiv
Corradetti, Daniele; Marrani, Alessio; Zucconi, Francesco Collineation groups of octonionic and split-octonionic planes. arXiv:2311.11907 Preprint, arXiv:2311.11907 [math.RA] (2023). MSC: 17A35 51M35 17B25 BibTeX Cite \textit{D. Corradetti} et al., ``Collineation groups of octonionic and split-octonionic planes'', Preprint, arXiv:2311.11907 [math.RA] (2023) Full Text: arXiv OA License
Affolter, Niklas Christoph Discrete Differential Geometry and Cluster Algebras via TCD maps. arXiv:2305.02212 Preprint, arXiv:2305.02212 [math.CO] (2023). MSC: 51A05 51B05 52C99 13F60 82B20 BibTeX Cite \textit{N. C. Affolter}, ``Discrete Differential Geometry and Cluster Algebras via TCD maps'', Preprint, arXiv:2305.02212 [math.CO] (2023) Full Text: arXiv OA License
Rudnev, Misha; Shkredov, Ilya D. On the growth rate in \(\mathrm{SL_2}(\mathbb{F}_p)\), the affine group and sum-product type implications. (English) Zbl 07740347 Mathematika 68, No. 3, 738-783 (2022). MSC: 20G40 05E16 11B30 11B75 11T99 51E15 PDFBibTeX XMLCite \textit{M. Rudnev} and \textit{I. D. Shkredov}, Mathematika 68, No. 3, 738--783 (2022; Zbl 07740347) Full Text: DOI arXiv
Rausch de Traubenberg, Michel; Slupinski, Marcus Incidence geometry of the Fano plane and Freudenthal’s ansatz for the construction of octonions and split octonions. (English) Zbl 1519.17003 Innov. Incidence Geom. 19, No. 4, 165-181 (2022). Reviewer: Norbert Knarr (Stuttgart) MSC: 17A75 17A35 51A30 51E15 PDFBibTeX XMLCite \textit{M. Rausch de Traubenberg} and \textit{M. Slupinski}, Innov. Incidence Geom. 19, No. 4, 165--181 (2022; Zbl 1519.17003) Full Text: DOI arXiv
Corradetti, Daniele; Zucconi, Francesco A geometrical interpretation of Okubo spin group. (English) Zbl 1523.17009 J. Geom. Phys. 182, Article ID 104641, 11 p. (2022). MSC: 17A75 17A20 17A35 51A35 PDFBibTeX XMLCite \textit{D. Corradetti} and \textit{F. Zucconi}, J. Geom. Phys. 182, Article ID 104641, 11 p. (2022; Zbl 1523.17009) Full Text: DOI arXiv
Selig, J. M. Points in the plane, lines in space. (English) Zbl 1507.53013 J. Geom. 113, No. 3, Paper No. 46, 31 p. (2022). Reviewer: Atsushi Fujioka (Osaka) MSC: 53A20 51A10 53A25 15A66 PDFBibTeX XMLCite \textit{J. M. Selig}, J. Geom. 113, No. 3, Paper No. 46, 31 p. (2022; Zbl 1507.53013) Full Text: DOI
Smilga, Andrei Comments on noncommutative quantum mechanical systems associated with Lie algebras. (English) Zbl 1502.81049 J. Geom. Phys. 180, Article ID 104628, 10 p. (2022). MSC: 81S05 81R60 58J42 17B05 17C20 35J05 51E20 PDFBibTeX XMLCite \textit{A. Smilga}, J. Geom. Phys. 180, Article ID 104628, 10 p. (2022; Zbl 1502.81049) Full Text: DOI arXiv
Alawam, Fatin; Bani-Ata, Mashhour Al-Ali; Al-Hasanat, Bilal On certain finite geometric structures. (English) Zbl 1492.51005 Commun. Algebra 50, No. 9, 3734-3743 (2022). MSC: 51E15 51A40 17A35 05B25 PDFBibTeX XMLCite \textit{F. Alawam} et al., Commun. Algebra 50, No. 9, 3734--3743 (2022; Zbl 1492.51005) Full Text: DOI
De Bruyn, Bart The generating and embedding ranks of hyperplanes of Grassmannians. (English) Zbl 1491.51005 J. Geom. 113, No. 2, Paper No. 30, 7 p. (2022). MSC: 51A45 15A75 05B25 PDFBibTeX XMLCite \textit{B. De Bruyn}, J. Geom. 113, No. 2, Paper No. 30, 7 p. (2022; Zbl 1491.51005) Full Text: DOI
Crasmareanu, Mircea Quaternionic product of circles and cycles and octonionic product for pairs of circles. (English) Zbl 1491.51016 Iran. J. Math. Sci. Inform. 17, No. 1, 227-237 (2022). Reviewer: Victor V. Pambuccian (Glendale) MSC: 51N20 51N15 11R52 11R06 PDFBibTeX XMLCite \textit{M. Crasmareanu}, Iran. J. Math. Sci. Inform. 17, No. 1, 227--237 (2022; Zbl 1491.51016) Full Text: Link
Havlicek, Hans Projective metric geometry and Clifford algebras. (English) Zbl 1478.51003 Result. Math. 76, No. 4, Paper No. 219, 22 p. (2021). Reviewer: Erich W. Ellers (Toronto) MSC: 51F25 15A66 51F15 PDFBibTeX XMLCite \textit{H. Havlicek}, Result. Math. 76, No. 4, Paper No. 219, 22 p. (2021; Zbl 1478.51003) Full Text: DOI arXiv
Hrdina, Jaroslav; Návrat, Aleš; Vašík, Petr; Dorst, Leo Projective geometric algebra as a subalgebra of conformal geometric algebra. (English) Zbl 1462.15028 Adv. Appl. Clifford Algebr. 31, No. 2, Paper No. 18, 14 p. (2021). Reviewer: Danail Brezov (Sofia) MSC: 15A67 15A66 51N25 PDFBibTeX XMLCite \textit{J. Hrdina} et al., Adv. Appl. Clifford Algebr. 31, No. 2, Paper No. 18, 14 p. (2021; Zbl 1462.15028) Full Text: DOI arXiv
Elzawy, M.; Mosa, S. Quaternionic Bertrand curves in the Galilean space. (English) Zbl 1499.53048 Filomat 34, No. 1, 59-66 (2020). MSC: 53A35 51A05 11R52 PDFBibTeX XMLCite \textit{M. Elzawy} and \textit{S. Mosa}, Filomat 34, No. 1, 59--66 (2020; Zbl 1499.53048) Full Text: DOI
Combe, Noémie; Manin, Yuri I. \(F\)-manifolds and geometry of information. (English) Zbl 1454.53075 Bull. Lond. Math. Soc. 52, No. 5, 777-792 (2020). MSC: 53D45 62B10 46L99 51P05 53C99 PDFBibTeX XMLCite \textit{N. Combe} and \textit{Y. I. Manin}, Bull. Lond. Math. Soc. 52, No. 5, 777--792 (2020; Zbl 1454.53075) Full Text: DOI arXiv
Stamate, Dumitru I. (ed.); Szemberg, Tomasz (ed.) Combinatorial structures in algebra and geometry. NSA 26, Constanţa, Romania, August 26 – September 1, 2018. (English) Zbl 1456.05001 Springer Proceedings in Mathematics & Statistics 331. Cham: Springer (ISBN 978-3-030-52110-3/hbk; 978-3-030-52111-0/ebook). viii, 182 p. (2020). MSC: 05-06 13-06 14-06 51-06 52-06 05Exx 13Fxx 14Nxx 51Exx 00B25 PDFBibTeX XMLCite \textit{D. I. Stamate} (ed.) and \textit{T. Szemberg} (ed.), Combinatorial structures in algebra and geometry. NSA 26, Constanţa, Romania, August 26 -- September 1, 2018. Cham: Springer (2020; Zbl 1456.05001) Full Text: DOI
Combarro, Elías F.; Nicolás, Alejandro P.; Ranilla, José; Rúa, I. F. On finite division rings with a designed automorphism group. (English) Zbl 1480.17007 Math. Methods Appl. Sci. 43, No. 7, 3982-3994 (2020). Reviewer: Norbert Knarr (Stuttgart) MSC: 17A35 12K10 51A40 PDFBibTeX XMLCite \textit{E. F. Combarro} et al., Math. Methods Appl. Sci. 43, No. 7, 3982--3994 (2020; Zbl 1480.17007) Full Text: DOI Link
Gehér, György Pál Symmetries of projective spaces and spheres. (English) Zbl 1437.81032 Int. Math. Res. Not. 2020, No. 7, 2205-2240 (2020). MSC: 81R05 46C05 51N15 51F25 20C35 PDFBibTeX XMLCite \textit{G. P. Gehér}, Int. Math. Res. Not. 2020, No. 7, 2205--2240 (2020; Zbl 1437.81032) Full Text: DOI arXiv Link
Akman, Fusun; Sissokho, Papa A. Subspace partitions of \(\mathbb{F}_q^n\) containing direct sums. II: General case. (English) Zbl 1475.51006 Linear Algebra Appl. 598, 1-28 (2020). Reviewer: Vito Napolitano (Caserta) MSC: 51E20 16D70 51E14 05B25 PDFBibTeX XMLCite \textit{F. Akman} and \textit{P. A. Sissokho}, Linear Algebra Appl. 598, 1--28 (2020; Zbl 1475.51006) Full Text: DOI
Moylan, Patrick Applications of the fundamental theorems of projective and affine geometry in physics. (English) Zbl 1442.81032 Kielanowski, Piotr (ed.) et al., Geometric methods in physics XXXVII. Workshop and summer school, Białowieża, Poland, July 1–7, 2018. Dedicated to Daniel Sternheimer on the occasion of his 80th birthday. Cham: Birkhäuser. Trends Math., 181-187 (2019). MSC: 81R05 20C25 20C35 51A05 22E43 81R20 PDFBibTeX XMLCite \textit{P. Moylan}, in: Geometric methods in physics XXXVII. Workshop and summer school, Białowieża, Poland, July 1--7, 2018. Dedicated to Daniel Sternheimer on the occasion of his 80th birthday. Cham: Birkhäuser. 181--187 (2019; Zbl 1442.81032) Full Text: DOI
Maciążek, Tomasz; Sawicki, Adam Non-abelian quantum statistics on graphs. (English) Zbl 1508.81850 Commun. Math. Phys. 371, No. 3, 921-973 (2019). MSC: 81Q35 81S05 13D03 51H05 16D40 81V25 81P68 PDFBibTeX XMLCite \textit{T. Maciążek} and \textit{A. Sawicki}, Commun. Math. Phys. 371, No. 3, 921--973 (2019; Zbl 1508.81850) Full Text: DOI arXiv
Nishiyama, Seiya; da Providência, João Mean-field theory based on the \(\mathfrak{Jacobi\ hsp}\):= semidirect sum \(\mathfrak{h}_N \rtimes \mathfrak{sp}(2N,\mathbb{R})_{\mathbb{C}}\) algebra of boson operators. (English) Zbl 1421.81176 J. Math. Phys. 60, No. 8, 081706, 22 p. (2019). MSC: 81V70 81T10 53D22 51M35 81Q10 81R05 22E70 PDFBibTeX XMLCite \textit{S. Nishiyama} and \textit{J. da Providência}, J. Math. Phys. 60, No. 8, 081706, 22 p. (2019; Zbl 1421.81176) Full Text: DOI arXiv
Landjev, Ivan; Georgieva, Nevyana Conditions for the existence of spreads in projective Hjelmslev spaces. (English) Zbl 1410.51005 Des. Codes Cryptography 87, No. 4, 785-794 (2019). MSC: 51C05 51E23 51E05 05B25 05B30 16P10 PDFBibTeX XMLCite \textit{I. Landjev} and \textit{N. Georgieva}, Des. Codes Cryptography 87, No. 4, 785--794 (2019; Zbl 1410.51005) Full Text: DOI
De Schepper, A.; Krauss, O.; Schillewaert, J.; Van Maldeghem, H. Veronesean representations of projective spaces over quadratic associative division algebras. (English) Zbl 1407.51029 J. Algebra 521, 166-199 (2019). MSC: 51M35 17A35 17A45 PDFBibTeX XMLCite \textit{A. De Schepper} et al., J. Algebra 521, 166--199 (2019; Zbl 1407.51029) Full Text: DOI Link
Sidman, Jessica; Traves, William Special positions of frameworks and the Grassmann-Cayley algebra. (English) Zbl 1404.15022 Sitharam, Meera (ed.) et al., Handbook of geometric constraint systems principles. Boca Raton, FL: CRC Press (ISBN 978-1-4987-3891-0/hbk; 978-1-4987-3892-7/ebook). Discrete Mathematics and its Applications, 85-106 (2019). MSC: 15A75 14M15 51M35 PDFBibTeX XMLCite \textit{J. Sidman} and \textit{W. Traves}, in: Handbook of geometric constraint systems principles. Boca Raton, FL: CRC Press. 85--106 (2019; Zbl 1404.15022)
Murphy, Brendan; Rudnev, Misha; Stevens, Sophie Bisector energy and pinned distances in positive characteristic. arXiv:1908.04618 Preprint, arXiv:1908.04618 [math.CO] (2019). MSC: 52C10 11E88 11T23 14N10 52C35 51E20 BibTeX Cite \textit{B. Murphy} et al., ``Bisector energy and pinned distances in positive characteristic'', Preprint, arXiv:1908.04618 [math.CO] (2019) Full Text: arXiv OA License
Watanabe, Yuta An algebra associated with a flag in a subspace lattice over a finite field and the quantum affine algebra. (English) Zbl 1403.51007 Electron. J. Comb. 25, No. 4, Research Paper P4.31, 40 p. (2018). MSC: 51E20 20G42 PDFBibTeX XMLCite \textit{Y. Watanabe}, Electron. J. Comb. 25, No. 4, Research Paper P4.31, 40 p. (2018; Zbl 1403.51007) Full Text: arXiv Link
Blunck, Andrea; Knarr, Norbert; Stroppel, Bernhild; Stroppel, Markus J. Clifford parallelisms defined by octonions. (English) Zbl 1400.51002 Monatsh. Math. 187, No. 3, 437-458 (2018). MSC: 51A15 17A75 51A05 51A10 51J15 11E04 PDFBibTeX XMLCite \textit{A. Blunck} et al., Monatsh. Math. 187, No. 3, 437--458 (2018; Zbl 1400.51002) Full Text: DOI
Petelczyc, Krzysztof; Żynel, Mariusz Affinization of Segre products of partial linear spaces. (English) Zbl 1405.51004 Bull. Iran. Math. Soc. 43, No. 5, 1101-1126 (2017). MSC: 51A15 51A45 15A69 15A75 PDFBibTeX XMLCite \textit{K. Petelczyc} and \textit{M. Żynel}, Bull. Iran. Math. Soc. 43, No. 5, 1101--1126 (2017; Zbl 1405.51004) Full Text: arXiv Link
Schillewaert, Jeroen; van Maldeghem, Hendrik On the varieties of the second row of the split Freudenthal-Tits magic square. (Sur les variétés de la deuxième rangée du carré magique deployé de Freudenthal-Tits.) (English. French summary) Zbl 1410.51010 Ann. Inst. Fourier 67, No. 6, 2265-2305 (2017). Reviewer: Horst Szambien (Garbsen) MSC: 51E24 51A45 51M35 14M12 14M15 17C37 20G15 PDFBibTeX XMLCite \textit{J. Schillewaert} and \textit{H. van Maldeghem}, Ann. Inst. Fourier 67, No. 6, 2265--2305 (2017; Zbl 1410.51010) Full Text: DOI arXiv
Keppens, Dirk 50 years of finite geometry, the “geometries over finite rings” part. (English) Zbl 1456.51002 Innov. Incidence Geom. 15, 123-143 (2017). MSC: 51C05 51E26 13M05 16P10 16Y30 16Y60 51-02 PDFBibTeX XMLCite \textit{D. Keppens}, Innov. Incidence Geom. 15, 123--143 (2017; Zbl 1456.51002) Full Text: arXiv
De Bruyn, Bart; Kwiatkowski, Mariusz The hyperplanes of \(DW(5,\mathbb F)\) arising from the Grassmann embedding. (English) Zbl 1375.15042 Electron. J. Linear Algebra 32, 1-14 (2017). MSC: 15A75 15A63 51A45 51A50 PDFBibTeX XMLCite \textit{B. De Bruyn} and \textit{M. Kwiatkowski}, Electron. J. Linear Algebra 32, 1--14 (2017; Zbl 1375.15042) Full Text: DOI
Lavrauw, Michel; Sheekey, John The BEL-rank of finite semifields. (English) Zbl 1381.12003 Des. Codes Cryptography 84, No. 3, 345-358 (2017). MSC: 12K10 17A35 51A35 51A40 PDFBibTeX XMLCite \textit{M. Lavrauw} and \textit{J. Sheekey}, Des. Codes Cryptography 84, No. 3, 345--358 (2017; Zbl 1381.12003) Full Text: DOI arXiv
Gerla, Giangiacomo; Gruszczyński, Rafał Point-free geometry, ovals, and half-planes. (English) Zbl 1368.03017 Rev. Symb. Log. 10, No. 2, 237-258 (2017). Reviewer: Victor V. Pambuccian (Phoenix) MSC: 03B30 03-03 01A60 51A35 52A01 PDFBibTeX XMLCite \textit{G. Gerla} and \textit{R. Gruszczyński}, Rev. Symb. Log. 10, No. 2, 237--258 (2017; Zbl 1368.03017) Full Text: DOI
Leventides, John; Petroulakis, George Linear spectral sets and their extremal varieties. (English) Zbl 1378.51016 Adv. Appl. Clifford Algebr. 27, No. 2, 1503-1515 (2017). Reviewer: Horst Szambien (Garbsen) MSC: 51N35 14N05 51M16 15A75 PDFBibTeX XMLCite \textit{J. Leventides} and \textit{G. Petroulakis}, Adv. Appl. Clifford Algebr. 27, No. 2, 1503--1515 (2017; Zbl 1378.51016) Full Text: DOI
Gunn, Charles G. Doing Euclidean plane geometry using projective geometric algebra. (English) Zbl 1368.51018 Adv. Appl. Clifford Algebr. 27, No. 2, 1203-1232 (2017). MSC: 51M05 15A75 PDFBibTeX XMLCite \textit{C. G. Gunn}, Adv. Appl. Clifford Algebr. 27, No. 2, 1203--1232 (2017; Zbl 1368.51018) Full Text: DOI arXiv
Gunn, Charles Geometric algebras for Euclidean geometry. (English) Zbl 1367.15035 Adv. Appl. Clifford Algebr. 27, No. 1, 185-208 (2017). MSC: 15A66 70E15 15A75 51A05 70B10 PDFBibTeX XMLCite \textit{C. Gunn}, Adv. Appl. Clifford Algebr. 27, No. 1, 185--208 (2017; Zbl 1367.15035) Full Text: DOI arXiv
Dorst, Leo 3D oriented projective geometry through versors of \(\mathbb R^{3,3}\). (English) Zbl 1379.51001 Adv. Appl. Clifford Algebr. 26, No. 4, 1137-1172 (2016). Reviewer: Horst Szambien (Garbsen) MSC: 51A05 15A66 11E88 15A63 15A75 68U05 PDFBibTeX XMLCite \textit{L. Dorst}, Adv. Appl. Clifford Algebr. 26, No. 4, 1137--1172 (2016; Zbl 1379.51001) Full Text: DOI
Pasini, Antonio Equations for polar Grassmannians. (English) Zbl 1359.14042 Linear Multilinear Algebra 64, No. 11, 2224-2240 (2016). Reviewer: Edoardo Ballico (Povo) MSC: 14M15 15A69 51A50 15A75 PDFBibTeX XMLCite \textit{A. Pasini}, Linear Multilinear Algebra 64, No. 11, 2224--2240 (2016; Zbl 1359.14042) Full Text: DOI arXiv
Kim, Myeung Su; Kim, Yeonjun; Lee, Jae-Hyouk; Nam, Seungbum; Park, Kiho Multiplication of integral octonions. (English) Zbl 1395.17008 J. Algebra Appl. 15, No. 8, Article ID 1650144, 14 p. (2016). MSC: 17A75 51E15 PDFBibTeX XMLCite \textit{M. S. Kim} et al., J. Algebra Appl. 15, No. 8, Article ID 1650144, 14 p. (2016; Zbl 1395.17008) Full Text: DOI
Holweck, Frédéric; Lévay, Péter Classification of multipartite systems featuring only \(|W\rangle\) and \(|GHZ\rangle\) genuine entangled states. (English) Zbl 1342.81039 J. Phys. A, Math. Theor. 49, No. 8, Article ID 085201, 21 p. (2016). MSC: 81P40 51A05 17C20 PDFBibTeX XMLCite \textit{F. Holweck} and \textit{P. Lévay}, J. Phys. A, Math. Theor. 49, No. 8, Article ID 085201, 21 p. (2016; Zbl 1342.81039) Full Text: DOI arXiv
Hanson, Andrew J.; Ortiz, Gerardo; Sabry, Amr; Tai, Yu-Tsung Corrigendum to: “Geometry of discrete quantum computing”. (English) Zbl 1447.81006 J. Phys. A, Math. Theor. 49, No. 3, Article ID 039501, 2 p. (2016). MSC: 81P05 81P40 81P68 16T05 46S10 47S10 51N15 PDFBibTeX XMLCite \textit{A. J. Hanson} et al., J. Phys. A, Math. Theor. 49, No. 3, Article ID 039501, 2 p. (2016; Zbl 1447.81006) Full Text: DOI
De Bruyn, Bart; Van Maldeghem, Hendrik Universal and homogeneous embeddings of dual polar spaces of rank 3 defined over quadratic alternative division algebras. (English) Zbl 1357.51003 J. Reine Angew. Math. 715, 39-74 (2016). Reviewer: Hubert Kiechle (Hamburg) MSC: 51A50 51A45 17A35 17A45 PDFBibTeX XMLCite \textit{B. De Bruyn} and \textit{H. Van Maldeghem}, J. Reine Angew. Math. 715, 39--74 (2016; Zbl 1357.51003) Full Text: DOI Link
Cook, David II; Migliore, Juan; Nagel, Uwe; Zanello, Fabrizio An algebraic approach to finite projective planes. (English) Zbl 1339.05437 J. Algebr. Comb. 43, No. 3, 495-519 (2016). MSC: 05E40 05B25 13D02 13E10 13H10 51E15 PDFBibTeX XMLCite \textit{D. Cook II} et al., J. Algebr. Comb. 43, No. 3, 495--519 (2016; Zbl 1339.05437) Full Text: DOI arXiv
Glick, Max; Pylyavskyy, Pavlo \(Y\)-meshes and generalized pentagram maps. (English) Zbl 1362.37109 Proc. Lond. Math. Soc. (3) 112, No. 4, 753-797 (2016). MSC: 37J35 13F60 51N15 PDFBibTeX XMLCite \textit{M. Glick} and \textit{P. Pylyavskyy}, Proc. Lond. Math. Soc. (3) 112, No. 4, 753--797 (2016; Zbl 1362.37109) Full Text: DOI arXiv
De Bruyn, Bart Projective embeddings of dual polar spaces of mixed type. (English) Zbl 1334.15066 Linear Algebra Appl. 501, 263-289 (2016). MSC: 15A75 51A45 PDFBibTeX XMLCite \textit{B. De Bruyn}, Linear Algebra Appl. 501, 263--289 (2016; Zbl 1334.15066) Full Text: DOI
Lavrauw, Michel; Sheekey, John On BEL-configurations and finite semifields. (English) Zbl 1352.12005 Des. Codes Cryptography 78, No. 3, 583-603 (2016). Reviewer: Hubert Kiechle (Hamburg) MSC: 12K10 17A35 51A40 51A35 PDFBibTeX XMLCite \textit{M. Lavrauw} and \textit{J. Sheekey}, Des. Codes Cryptography 78, No. 3, 583--603 (2016; Zbl 1352.12005) Full Text: DOI arXiv
Apel, Susanne Cayley factorization and the area principle. (English) Zbl 1335.68299 Discrete Comput. Geom. 55, No. 1, 203-227 (2016). MSC: 68W30 13P05 15A75 51N15 PDFBibTeX XMLCite \textit{S. Apel}, Discrete Comput. Geom. 55, No. 1, 203--227 (2016; Zbl 1335.68299) Full Text: DOI
Klawitter, Daniel Reflections in conics, quadrics and hyperquadrics via Clifford algebra. (English) Zbl 1380.15018 Beitr. Algebra Geom. 57, No. 1, 221-242 (2016). Reviewer: Sirkka-Liisa Eriksson (Helsinki) MSC: 15A66 51B99 51M15 51N15 PDFBibTeX XMLCite \textit{D. Klawitter}, Beitr. Algebra Geom. 57, No. 1, 221--242 (2016; Zbl 1380.15018) Full Text: DOI arXiv
Calderbank, David M. J.; Noppakaew, Passawan Parabolic subalgebras, parabolic buildings and parabolic projection. arXiv:1607.00370 Preprint, arXiv:1607.00370 [math.RT] (2016). MSC: 17B05 51E24 14M15 20F55 20G07 22E46 51A05 BibTeX Cite \textit{D. M. J. Calderbank} and \textit{P. Noppakaew}, ``Parabolic subalgebras, parabolic buildings and parabolic projection'', Preprint, arXiv:1607.00370 [math.RT] (2016) Full Text: arXiv OA License
Glick, Max; Pylyavskyy, Pavlo \(Y\)-meshes and generalized pentagram maps. (English. French summary) Zbl 1335.05215 Proceedings of the 27th international conference on formal power series and algebraic combinatorics, FPSAC 2015, Daejeon, South Korea, July 6–10, 2015. Nancy: The Association. Discrete Mathematics & Theoretical Computer Science (DMTCS). Discrete Mathematics and Theoretical Computer Science. Proceedings, 169-180 (2015). MSC: 05E15 51A05 PDFBibTeX XMLCite \textit{M. Glick} and \textit{P. Pylyavskyy}, in: Proceedings of the 27th international conference on formal power series and algebraic combinatorics, FPSAC 2015, Daejeon, South Korea, July 6--10, 2015. Nancy: The Association. Discrete Mathematics \& Theoretical Computer Science (DMTCS). 169--180 (2015; Zbl 1335.05215) Full Text: Link
Saniga, Metod; Holweck, Frédéric; Pracna, Petr From Cayley-Dickson algebras to combinatorial Grassmannians. (English) Zbl 1331.51004 Mathematics 3, No. 4, 1192-1221 (2015). MSC: 51E20 51A20 51E30 PDFBibTeX XMLCite \textit{M. Saniga} et al., Mathematics 3, No. 4, 1192--1221 (2015; Zbl 1331.51004) Full Text: DOI arXiv
Martins, M. J. An integrable nineteen vertex model lying on a hypersurface. (English) Zbl 1328.82012 Nucl. Phys., B 892, 306-336 (2015). MSC: 82B20 16T25 81R12 51E20 PDFBibTeX XMLCite \textit{M. J. Martins}, Nucl. Phys., B 892, 306--336 (2015; Zbl 1328.82012) Full Text: DOI arXiv
Morier-Genoud, Sophie Coxeter’s frieze patterns at the crossroads of algebra, geometry and combinatorics. (English) Zbl 1330.05035 Bull. Lond. Math. Soc. 47, No. 6, 895-938 (2015). Reviewer: Ioan Tomescu (Bucureşti) MSC: 05B99 05E10 13F60 14M15 16G20 39A70 51M20 82B20 PDFBibTeX XMLCite \textit{S. Morier-Genoud}, Bull. Lond. Math. Soc. 47, No. 6, 895--938 (2015; Zbl 1330.05035) Full Text: DOI arXiv
Molnár, E.; Prok, I.; Szirmai, J. The Euclidean visualization and projective modelling the 8 Thurston geometries. (English) Zbl 1329.52017 Stud. Univ. Žilina, Math. Ser. 27, No. 1, 35-62 (2015). MSC: 52C17 15A75 51N15 65D18 68U10 51A45 PDFBibTeX XMLCite \textit{E. Molnár} et al., Stud. Univ. Žilina, Math. Ser. 27, No. 1, 35--62 (2015; Zbl 1329.52017)
Abdukhalikov, Kanat Symplectic spreads, planar functions, and mutually unbiased bases. (English) Zbl 1317.05024 J. Algebr. Comb. 41, No. 4, 1055-1077 (2015). Reviewer: Victor V. Pambuccian (Phoenix) MSC: 05B25 51A40 51E15 12K10 20B25 17B20 05B20 PDFBibTeX XMLCite \textit{K. Abdukhalikov}, J. Algebr. Comb. 41, No. 4, 1055--1077 (2015; Zbl 1317.05024) Full Text: DOI arXiv
Hui, Alice M. W.; Law, Hiu Fai; Tai, Yee Ka; Wong, Philip P. W. A note on unitary polarities in finite Dickson semifield planes. (English) Zbl 1320.51003 J. Geom. 106, No. 1, 175-183 (2015). Reviewer: Rolf Riesinger (Wien) MSC: 51A35 05B05 17A35 20B25 PDFBibTeX XMLCite \textit{A. M. W. Hui} et al., J. Geom. 106, No. 1, 175--183 (2015; Zbl 1320.51003) Full Text: DOI
Waegell, Mordecai; Aravind, P. K. Parity proofs of the Kochen-Specker theorem based on the Lie algebra E8. (English) Zbl 1317.81011 J. Phys. A, Math. Theor. 48, No. 22, Article ID 225301, 17 p. (2015). MSC: 81P13 17B22 20C25 51F15 81R05 PDFBibTeX XMLCite \textit{M. Waegell} and \textit{P. K. Aravind}, J. Phys. A, Math. Theor. 48, No. 22, Article ID 225301, 17 p. (2015; Zbl 1317.81011) Full Text: DOI arXiv
Konter, Johan; Vdovina, Alina Classifying polygonal algebras by their \(K_{0}\)-group. (English) Zbl 1334.46053 Proc. Edinb. Math. Soc., II. Ser. 58, No. 2, 485-497 (2015). MSC: 46L80 19K14 51E24 PDFBibTeX XMLCite \textit{J. Konter} and \textit{A. Vdovina}, Proc. Edinb. Math. Soc., II. Ser. 58, No. 2, 485--497 (2015; Zbl 1334.46053) Full Text: DOI
Knarr, Norbert; Stroppel, Markus J. Heisenberg groups, semifields, and translation planes. (English) Zbl 1359.12005 Beitr. Algebra Geom. 56, No. 1, 115-127 (2015). MSC: 12K10 17A35 20D15 20F28 51A35 51A10 PDFBibTeX XMLCite \textit{N. Knarr} and \textit{M. J. Stroppel}, Beitr. Algebra Geom. 56, No. 1, 115--127 (2015; Zbl 1359.12005) Full Text: DOI
Kedem, Rinat; Vichitkunakorn, Panupong \(T\)-systems and the pentagram map. (English) Zbl 1306.37062 J. Geom. Phys. 87, 233-247 (2015). MSC: 37J35 37K20 13F60 51M20 14N05 PDFBibTeX XMLCite \textit{R. Kedem} and \textit{P. Vichitkunakorn}, J. Geom. Phys. 87, 233--247 (2015; Zbl 1306.37062) Full Text: DOI arXiv
Li, Hongbo; Huang, Lei; Shao, Changpeng; Dong, Lei Three-Dimensional Projective Geometry with Geometric Algebra. arXiv:1507.06634 Preprint, arXiv:1507.06634 [math.MG] (2015). MSC: 15A66 15A72 51M35 65D19 BibTeX Cite \textit{H. Li} et al., ``Three-Dimensional Projective Geometry with Geometric Algebra'', Preprint, arXiv:1507.06634 [math.MG] (2015) Full Text: arXiv OA License
Cardinali, I.; Pasini, A. Embeddings of line-Grassmannians of polar spaces in Grassmann varieties. (English) Zbl 1342.51004 Narasimha Sastry, N.S. (ed.), Groups of exceptional type, Coxeter groups and related geometries. Invited articles based on the presentations at the international conference on “Groups and geometries”, Bangalore, India, December 10–21, 2012. New Delhi: Springer (ISBN 978-81-322-1813-5/hbk; 978-81-322-1814-2/ebook). Springer Proceedings in Mathematics & Statistics 82, 75-109 (2014). Reviewer: Rolf Riesinger (Wien) MSC: 51A45 51A50 51E12 15A75 15A69 14A10 PDFBibTeX XMLCite \textit{I. Cardinali} and \textit{A. Pasini}, Springer Proc. Math. Stat. 82, 75--109 (2014; Zbl 1342.51004) Full Text: DOI
Bertram, Wolfgang; Kinyon, Michael Torsors and ternary Moufang loops arising in projective geometry. (English) Zbl 1319.51002 Makhlouf, Abdenacer (ed.) et al., Algebra, geometry and mathematical physics. AGMP, Mulhouse, France, October 24-26, 2011. Proceedings. Berlin: Springer (ISBN 978-3-642-55360-8/hbk; 978-3-642-55361-5/ebook). Springer Proceedings in Mathematics & Statistics 85, 343-360 (2014). MSC: 51A05 20N10 17C37 16W10 17C50 PDFBibTeX XMLCite \textit{W. Bertram} and \textit{M. Kinyon}, Springer Proc. Math. Stat. 85, 343--360 (2014; Zbl 1319.51002) Full Text: DOI arXiv
Klawitter, Daniel Null polarities as generators of the projective group. (English) Zbl 1317.51023 J. Geom. Graph. 18, No. 2, 183-197 (2014). MSC: 51N15 11E88 51M30 51B25 PDFBibTeX XMLCite \textit{D. Klawitter}, J. Geom. Graph. 18, No. 2, 183--197 (2014; Zbl 1317.51023) Full Text: arXiv Link
Bertram, Wolfgang Jordan geometries – an approach via inversions. (English) Zbl 1356.17026 J. Lie Theory 24, No. 4, 1067-1113 (2014). Reviewer: Harald Löwe (Braunschweig) MSC: 17C37 20N10 16W10 32M15 51C05 53C35 PDFBibTeX XMLCite \textit{W. Bertram}, J. Lie Theory 24, No. 4, 1067--1113 (2014; Zbl 1356.17026) Full Text: arXiv Link
Siemons, J.; Smith, D. Some homology representations for Grassmannians in cross-characteristics. (English) Zbl 1328.20017 J. Math. Sci., New York 199, No. 3, 329-342 (2014) and Zap. Nauchn. Semin. POMI 414, 156-180 (2013). Reviewer: Etienne Fieux (Toulouse) MSC: 20C20 05E10 14M15 51E20 55N35 16E40 18G35 55U30 20G05 20G10 PDFBibTeX XMLCite \textit{J. Siemons} and \textit{D. Smith}, J. Math. Sci., New York 199, No. 3, 329--342 (2014; Zbl 1328.20017) Full Text: DOI arXiv
Klawitter, Daniel A Clifford algebraic approach to line geometry. (English) Zbl 1305.15057 Adv. Appl. Clifford Algebr. 24, No. 3, 713-736 (2014). MSC: 15A66 51A05 15A63 PDFBibTeX XMLCite \textit{D. Klawitter}, Adv. Appl. Clifford Algebr. 24, No. 3, 713--736 (2014; Zbl 1305.15057) Full Text: DOI arXiv
Seshadri, C. S. [Lakshmibai, V.; Littelmann, Peter; Shukla, Pradeep] Introduction to the theory of standard monomials. With notes by Peter Littelmann and Pradeep Shukla. Appendix by V. Lakshmibai. 2nd ed. (English) Zbl 1297.14002 Texts and Readings in Mathematics 46. New Delhi: Hindustan Book Agency (ISBN 978-93-80250-58-8/pbk). xiv, 221 p. (2014). MSC: 14-02 14M15 13F50 51M35 PDFBibTeX XMLCite \textit{C. S. Seshadri}, Introduction to the theory of standard monomials. With notes by Peter Littelmann and Pradeep Shukla. Appendix by V. Lakshmibai. 2nd ed. New Delhi: Hindustan Book Agency (2014; Zbl 1297.14002)
Baez, John C.; Huerta, John \(\mathrm{G}_{2}\) and the rolling ball. (English) Zbl 1354.20031 Trans. Am. Math. Soc. 366, No. 10, 5257-5293 (2014). MSC: 20G41 17A75 20E42 57S25 51A45 PDFBibTeX XMLCite \textit{J. C. Baez} and \textit{J. Huerta}, Trans. Am. Math. Soc. 366, No. 10, 5257--5293 (2014; Zbl 1354.20031) Full Text: DOI arXiv
Knarr, Norbert; Stroppel, Markus Unitals over composition algebras. (English) Zbl 1301.51005 Forum Math. 26, No. 3, 931-951 (2014). Reviewer: Rolf Riesinger (Wien) MSC: 51A45 51A10 17A75 17A35 51A35 51A40 PDFBibTeX XMLCite \textit{N. Knarr} and \textit{M. Stroppel}, Forum Math. 26, No. 3, 931--951 (2014; Zbl 1301.51005) Full Text: DOI
Lunardon, G.; Marino, G.; Polverino, O.; Trombetti, R. Maximum scattered linear sets of pseudoregulus type and the Segre variety \(\mathcal{S}_{n,n}\). (English) Zbl 1295.51011 J. Algebr. Comb. 39, No. 4, 807-831 (2014). Reviewer: Steven T. Dougherty (Scranton) MSC: 51E20 17A35 PDFBibTeX XMLCite \textit{G. Lunardon} et al., J. Algebr. Comb. 39, No. 4, 807--831 (2014; Zbl 1295.51011) Full Text: DOI arXiv
Grari, A. A commutative ring associated to a symmetric design. (Un anneau commutatif associé à un design symétrique.) (French) Zbl 1302.51004 Can. Math. Bull. 57, No. 1, 72-79 (2014). MSC: 51E05 05B05 16S99 PDFBibTeX XMLCite \textit{A. Grari}, Can. Math. Bull. 57, No. 1, 72--79 (2014; Zbl 1302.51004) Full Text: DOI
Bertram, Wolfgang Jordan- and Lie geometries. (English) Zbl 1313.17034 Arch. Math., Brno 49, No. 5, 275-293 (2013). MSC: 17C37 20N10 22A30 51B25 51P05 16W10 81P05 PDFBibTeX XMLCite \textit{W. Bertram}, Arch. Math., Brno 49, No. 5, 275--293 (2013; Zbl 1313.17034) Full Text: DOI
Pasini, Antonio Embeddings of orthogonal Grassmannians. (English) Zbl 1318.51001 Innov. Incidence Geom. 13, 107-133 (2013). Reviewer: Günter F. Steinke (Christchurch) MSC: 51A45 51E24 14M15 20C20 20G15 17B45 17B50 51A50 PDFBibTeX XMLCite \textit{A. Pasini}, Innov. Incidence Geom. 13, 107--133 (2013; Zbl 1318.51001)
Hui, Alice M. W.; Law, Hiu Fai; Tai, Yee Ka; Wong, Philip P. W. Non-classical polar unitals in finite Dickson semifield planes. (English) Zbl 1302.51003 J. Geom. 104, No. 3, 469-493 (2013). Reviewer: Süleyman Çiftçi (Bursa) MSC: 51A35 05B05 17A35 51A10 51A45 PDFBibTeX XMLCite \textit{A. M. W. Hui} et al., J. Geom. 104, No. 3, 469--493 (2013; Zbl 1302.51003) Full Text: DOI
Kvirikashvili, T.; Lashkhi, A. Harmonic maps and von Staudt’s theorem over rings. (English. Russian original) Zbl 1291.51004 J. Math. Sci., New York 195, No. 4, 496-504 (2013); translation from Sovrem. Mat. Prilozh. 83 (2012). MSC: 51C05 51A10 16D40 PDFBibTeX XMLCite \textit{T. Kvirikashvili} and \textit{A. Lashkhi}, J. Math. Sci., New York 195, No. 4, 496--504 (2013; Zbl 1291.51004); translation from Sovrem. Mat. Prilozh. 83 (2012) Full Text: DOI
Kravtsova, Ol’ga Vadimovna Semifield planes of even order that admit the Baer involution. (Russian. English summary) Zbl 1295.51006 Izv. Irkutsk. Gos. Univ., Ser. Mat. 6, No. 2, 26-37 (2013). Reviewer: Steven T. Dougherty (Scranton) MSC: 51E15 17A35 PDFBibTeX XMLCite \textit{O. V. Kravtsova}, Izv. Irkutsk. Gos. Univ., Ser. Mat. 6, No. 2, 26--37 (2013; Zbl 1295.51006)
Knarr, Norbert; Stroppel, Markus Baer involutions and polarities in Moufang planes of characteristic two. (English) Zbl 1283.51002 Adv. Geom. 13, No. 3, 533-546 (2013). Reviewer: Gernot Stroth (Halle) MSC: 51A35 51A10 17A35 17A36 17A75 51A40 PDFBibTeX XMLCite \textit{N. Knarr} and \textit{M. Stroppel}, Adv. Geom. 13, No. 3, 533--546 (2013; Zbl 1283.51002) Full Text: DOI Link
Lunardon, G.; Marino, G.; Polverino, O.; Trombetti, R. A remark on symplectic semifield planes and \(\mathbb Z_4\)-linear codes. (English) Zbl 1291.51006 Des. Codes Cryptography 69, No. 2, 143-149 (2013). Reviewer: Hubert Kiechle (Hamburg) MSC: 51E20 12K10 51A40 94B27 17A35 51A35 51A50 PDFBibTeX XMLCite \textit{G. Lunardon} et al., Des. Codes Cryptography 69, No. 2, 143--149 (2013; Zbl 1291.51006) Full Text: DOI
Havlicek, Hans; Kosiorek, Jarosław; Odehnal, Boris A point model for the free cyclic submodules over ternions. (English) Zbl 1273.51004 Result. Math. 63, No. 3-4, 1071-1078 (2013). Reviewer: Andrea Blunck (Hamburg) MSC: 51B99 51C99 14J26 16D40 PDFBibTeX XMLCite \textit{H. Havlicek} et al., Result. Math. 63, No. 3--4, 1071--1078 (2013; Zbl 1273.51004) Full Text: DOI arXiv
Chapoton, Frédéric; Manivel, Laurent Triangulations and Severi varieties. (English) Zbl 1277.13018 Exp. Math. 22, No. 1, 60-73 (2013). Reviewer: S. A. Seyed Fakhari (Tehran) MSC: 13F55 55U10 17A35 51E15 PDFBibTeX XMLCite \textit{F. Chapoton} and \textit{L. Manivel}, Exp. Math. 22, No. 1, 60--73 (2013; Zbl 1277.13018) Full Text: DOI arXiv
Honold, Thomas; Kiermaier, Michael The existence of maximal \((q^2,2)\)-arcs in projective Hjelmslev planes over chain rings of length 2 and odd prime characteristic. (English) Zbl 1264.05023 Des. Codes Cryptography 68, No. 1-3, 105-126 (2013). MSC: 05B25 51C05 51E15 51E21 51E26 16P10 94B05 94B27 PDFBibTeX XMLCite \textit{T. Honold} and \textit{M. Kiermaier}, Des. Codes Cryptography 68, No. 1--3, 105--126 (2013; Zbl 1264.05023) Full Text: DOI
Hanson, Andrew J.; Ortiz, Gerardo; Sabry, Amr; Tai, Yu-Tsung Geometry of discrete quantum computing. (English) Zbl 1268.81009 J. Phys. A, Math. Theor. 46, No. 18, Article ID 185301, 21 p. (2013); correction ibid. 49, No. 3, Article ID 039501, 2 p. (2016). MSC: 81P05 81P40 81P68 16T05 46S10 47S10 51N15 PDFBibTeX XMLCite \textit{A. J. Hanson} et al., J. Phys. A, Math. Theor. 46, No. 18, Article ID 185301, 21 p. (2013; Zbl 1268.81009) Full Text: DOI arXiv
Brewer, Sky Projective cross-ratio on hypercomplex numbers. (English) Zbl 1263.15020 Adv. Appl. Clifford Algebr. 23, No. 1, 1-14 (2013). MSC: 15A66 51B10 PDFBibTeX XMLCite \textit{S. Brewer}, Adv. Appl. Clifford Algebr. 23, No. 1, 1--14 (2013; Zbl 1263.15020) Full Text: DOI arXiv
Knarr, Norbert; Stroppel, Markus Polarities and planar collineations of Moufang planes. (English) Zbl 1281.51003 Monatsh. Math. 169, No. 3-4, 383-395 (2013). Reviewer: Vito Napolitano (Napoli) MSC: 51A35 51A10 17A35 17A36 17A75 51A40 PDFBibTeX XMLCite \textit{N. Knarr} and \textit{M. Stroppel}, Monatsh. Math. 169, No. 3--4, 383--395 (2013; Zbl 1281.51003) Full Text: DOI
Sobczyk, Garret New foundations in mathematics. The geometric concept of number. (English) Zbl 1273.53001 New York, NY: Birkhäuser (ISBN 978-0-8176-8384-9/hbk; 978-0-8176-8385-6/ebook). xiv, 370 p. (2013). Reviewer: Ana Pereira do Vale (Braga) MSC: 53-01 00-01 00A05 15-01 53Axx 51Nxx 17B45 20B30 22E60 58A05 83A05 PDFBibTeX XMLCite \textit{G. Sobczyk}, New foundations in mathematics. The geometric concept of number. New York, NY: Birkhäuser (2013; Zbl 1273.53001) Full Text: DOI arXiv
Shafarevich, Igor R.; Remizov, Alexey O. Linear algebra and geometry. Translated from the Russian by David Kramer and Lena Nekludova. (English) Zbl 1256.15001 Berlin: Springer (ISBN 978-3-642-30993-9/hbk; 978-3-642-30994-6/ebook). xxi, 526 p. (2013). Reviewer: Werner Kleinert (Berlin) MSC: 15-01 51-01 15Axx 51Nxx 51M10 20C15 97H60 97G70 PDFBibTeX XMLCite \textit{I. R. Shafarevich} and \textit{A. O. Remizov}, Linear algebra and geometry. Translated from the Russian by David Kramer and Lena Nekludova. Berlin: Springer (2013; Zbl 1256.15001) Full Text: DOI Backlinks: MO
Kiermaier, Michael; Landjev, Ivan Designs in projective Hjelmslev spaces. (English) Zbl 1281.51004 Lavrauw, Michel (ed.) et al., Theory and applications of finite fields. The 10th international conference on finite fields and their applications, Ghent, Belgium, July 11–15, 2011. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-5298-9/pbk; 978-0-8218-9157-5/ebook). Contemporary Mathematics 579, 111-121 (2012). MSC: 51C05 05B25 16P10 05B30 PDFBibTeX XMLCite \textit{M. Kiermaier} and \textit{I. Landjev}, Contemp. Math. 579, 111--121 (2012; Zbl 1281.51004) Full Text: DOI
Chen, Linlin; Cordero, Minerva Fractional dimensional semifield planes. (English) Zbl 1296.51006 Note Mat. 32, No. 2, 57-61 (2012). Reviewer: Norbert Knarr (Stuttgart) MSC: 51E15 51A40 17A35 12K10 PDFBibTeX XMLCite \textit{L. Chen} and \textit{M. Cordero}, Note Mat. 32, No. 2, 57--61 (2012; Zbl 1296.51006) Full Text: Link