Sriwongsa, Songpon Orthogonal decompositions of Lie algebras over finite commutative rings. (English) Zbl 1507.17038 J. Algebra Appl. 21, No. 12, Article ID 2350006, 15 p. (2022). Reviewer: Andrea Caranti (Trento) MSC: 17B50 13M05 PDFBibTeX XMLCite \textit{S. Sriwongsa}, J. Algebra Appl. 21, No. 12, Article ID 2350006, 15 p. (2022; Zbl 1507.17038) Full Text: DOI arXiv
Kocherova, A.; Zhdanovskiy, I. Partial abelianization of free product of algebras. (English) Zbl 1510.81040 Lobachevskii J. Math. 42, No. 10, 2348-2357 (2021). Reviewer: Ilya Karzhemanov (Moskva) MSC: 81P45 17B20 14A22 81Q70 11H56 14E05 PDFBibTeX XMLCite \textit{A. Kocherova} and \textit{I. Zhdanovskiy}, Lobachevskii J. Math. 42, No. 10, 2348--2357 (2021; Zbl 1510.81040) Full Text: DOI arXiv
Bondal, Alexey I.; Zhdanovskiy, Il’ya Yu. Theory of homotopes with applications to mutually unbiased bases, harmonic analysis on graphs, and perverse sheaves. (English. Russian original) Zbl 1484.14033 Russ. Math. Surv. 76, No. 2, 195-259 (2021); translation from Usp. Mat. Nauk 76, No. 2, 3-70 (2021). MSC: 14F08 05B20 16W99 17B05 31C20 42A38 14-02 PDFBibTeX XMLCite \textit{A. I. Bondal} and \textit{I. Yu. Zhdanovskiy}, Russ. Math. Surv. 76, No. 2, 195--259 (2021; Zbl 1484.14033); translation from Usp. Mat. Nauk 76, No. 2, 3--70 (2021) Full Text: DOI arXiv
Thiel, Marko; Williams, Nathan Strange expectations and the Winnie-the-Pooh problem. (English) Zbl 1495.17011 J. Comb. Theory, Ser. A 176, Article ID 105298, 25 p. (2020). MSC: 17B10 05E16 PDFBibTeX XMLCite \textit{M. Thiel} and \textit{N. Williams}, J. Comb. Theory, Ser. A 176, Article ID 105298, 25 p. (2020; Zbl 1495.17011) Full Text: DOI arXiv
Bondal, Alexey; Zhdanovskiy, Ilya Symplectic geometry of unbiasedness and critical points of a potential. (English) Zbl 1453.53074 Hori, Kentaro (ed.) et al., Primitive forms and related subjects – Kavli IPMU 2014. Proceedings of the international conference, University of Tokyo, Tokyo, Japan, February 10–14, 2014. Tokyo: Mathematical Society of Japan. Adv. Stud. Pure Math. 83, 1-18 (2019). MSC: 53D12 53D20 53D37 14J33 14J45 14M25 81P45 35Q56 PDFBibTeX XMLCite \textit{A. Bondal} and \textit{I. Zhdanovskiy}, Adv. Stud. Pure Math. 83, 1--18 (2019; Zbl 1453.53074) Full Text: DOI arXiv Euclid
Zhdanovskiĭ, I. Yu.; Kocherova, A. S. Algebras of projectors and mutually unbiased bases in dimension 7. (English. Russian original) Zbl 1428.94047 J. Math. Sci., New York 241, No. 2, 125-157 (2019); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 138, 19-49 (2017). MSC: 94A40 81P45 16G99 PDFBibTeX XMLCite \textit{I. Yu. Zhdanovskiĭ} and \textit{A. S. Kocherova}, J. Math. Sci., New York 241, No. 2, 125--157 (2019; Zbl 1428.94047); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 138, 19--49 (2017) Full Text: DOI
Sriwongsa, Songpon; Zou, Yi Ming Orthogonal abelian Cartan subalgebra decomposition of \(\mathfrak{sl}_n\) over a finite commutative ring. (English) Zbl 1472.17021 Linear Multilinear Algebra 67, No. 4, 817-829 (2019). MSC: 17B05 13M05 PDFBibTeX XMLCite \textit{S. Sriwongsa} and \textit{Y. M. Zou}, Linear Multilinear Algebra 67, No. 4, 817--829 (2019; Zbl 1472.17021) Full Text: DOI arXiv
Kibler, Maurice R. Quantum information: a brief overview and some mathematical aspects. (English) Zbl 1425.81018 Mathematics 6, No. 12, Paper No. 273, 40 p. (2018). MSC: 81P45 81-02 PDFBibTeX XMLCite \textit{M. R. Kibler}, Mathematics 6, No. 12, Paper No. 273, 40 p. (2018; Zbl 1425.81018) Full Text: DOI arXiv
Thiel, Marko; Williams, Nathan Winnie-the-Pooh and the strange expectations. (English) Zbl 1411.05298 Sémin. Lothar. Comb. 80B, Article 50, 12 p. (2018). MSC: 05E15 17B10 PDFBibTeX XMLCite \textit{M. Thiel} and \textit{N. Williams}, Sémin. Lothar. Comb. 80B, Article 50, 12 p. (2018). (2018; Zbl 1411.05298) Full Text: Link
Basak, Tathagata Root space decomposition of \(\mathfrak{g}_2\) from octonions. (English) Zbl 1410.16039 J. Pure Appl. Algebra 222, No. 10, 3036-3042 (2018). MSC: 16W25 16W10 16S35 17B25 PDFBibTeX XMLCite \textit{T. Basak}, J. Pure Appl. Algebra 222, No. 10, 3036--3042 (2018; Zbl 1410.16039) Full Text: DOI arXiv
Andersson, Ole; Bengtsson, Ingemar Clifford tori and unbiased vectors. (English) Zbl 1384.81013 Rep. Math. Phys. 79, No. 1, 33-51 (2017). MSC: 81P40 81P45 51M20 PDFBibTeX XMLCite \textit{O. Andersson} and \textit{I. Bengtsson}, Rep. Math. Phys. 79, No. 1, 33--51 (2017; Zbl 1384.81013) Full Text: DOI arXiv
Bondal, A.; Zhdanovskiĭ, I. Orthogonal pairs and mutually unbiased bases. (English. Russian original) Zbl 1342.81063 J. Math. Sci., New York 216, No. 1, 23-40 (2016) and Zap. Nauchn. Semin. POMI 437, 35-61 (2015). MSC: 81P45 17B20 17B45 15A63 PDFBibTeX XMLCite \textit{A. Bondal} and \textit{I. Zhdanovskiĭ}, J. Math. Sci., New York 216, No. 1, 23--40 (2016; Zbl 1342.81063) Full Text: DOI arXiv
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
Malinin, Dmitry; Sarmin, Nor Haniza; Mohd Ali, Nor Muhainiah; Yahya, Zainab; Mohd Adnan, Noor Asma’ Adny Representations of some groups and Galois stability. (English) Zbl 1322.20006 Bull. Malays. Math. Sci. Soc. (2) 38, No. 2, 827-840 (2015). Reviewer: Andreas Nickel (Bielefeld) MSC: 20C10 11R33 20G30 20C05 PDFBibTeX XMLCite \textit{D. Malinin} et al., Bull. Malays. Math. Sci. Soc. (2) 38, No. 2, 827--840 (2015; Zbl 1322.20006) Full Text: DOI
Basak, Tathagata Modular lattices from finite projective planes. (English. French summary) Zbl 1369.11049 J. Théor. Nombres Bordx. 26, No. 2, 269-279 (2014). MSC: 11H56 51E15 11E12 11E39 PDFBibTeX XMLCite \textit{T. Basak}, J. Théor. Nombres Bordx. 26, No. 2, 269--279 (2014; Zbl 1369.11049) Full Text: DOI arXiv
Wilson, R. A. On compact real forms of Lie algebras of type \(E_6\) and \(F_4\). (English. Russian original) Zbl 1321.17007 Sib. Math. J. 54, No. 1, 159-172 (2013); translation from Sib. Mat. Zh. 54, No. 1, 208-224 (2013). MSC: 17B25 PDFBibTeX XMLCite \textit{R. A. Wilson}, Sib. Math. J. 54, No. 1, 159--172 (2013; Zbl 1321.17007); translation from Sib. Mat. Zh. 54, No. 1, 208--224 (2013) Full Text: DOI arXiv
Rämö, Johanna A symmetric construction of the compact real form of the Lie algebra. (English) Zbl 1301.17011 J. Algebra 368, 305-328 (2012). Reviewer: Candido Martín González (Málaga) MSC: 17B25 17B45 PDFBibTeX XMLCite \textit{J. Rämö}, J. Algebra 368, 305--328 (2012; Zbl 1301.17011) Full Text: DOI
Khare, Chandrashekhar; Larsen, Michael; Savin, Gordan Functoriality and the inverse Galois problem. II: Groups of type \(B_n\) and \(G_2\). (English) Zbl 1194.11063 Ann. Fac. Sci. Toulouse, Math. (6) 19, No. 1, 37-70 (2010). Reviewer: Stefan Kühnlein (Karlsruhe) MSC: 11F80 12F12 11F12 11R32 22E55 PDFBibTeX XMLCite \textit{C. Khare} et al., Ann. Fac. Sci. Toulouse, Math. (6) 19, No. 1, 37--70 (2010; Zbl 1194.11063) Full Text: DOI arXiv Numdam EuDML
Elduque, Alberto Gradings on symmetric composition algebras. (English) Zbl 1216.17004 J. Algebra 322, No. 10, 3542-3579 (2009). Reviewer: Candido Martín González (Málaga) MSC: 17A75 17B70 17B25 PDFBibTeX XMLCite \textit{A. Elduque}, J. Algebra 322, No. 10, 3542--3579 (2009; Zbl 1216.17004) Full Text: DOI arXiv
Abdukhalikov, Kanat; Bannai, Eiichi; Suda, Sho Association schemes related to universally optimal configurations, Kerdock codes and extremal Euclidean line-sets. (English) Zbl 1250.05119 J. Comb. Theory, Ser. A 116, No. 2, 434-448 (2009). Reviewer: Alexandre A. Makhnev (Ekaterinburg) MSC: 05E30 94B05 94B65 PDFBibTeX XMLCite \textit{K. Abdukhalikov} et al., J. Comb. Theory, Ser. A 116, No. 2, 434--448 (2009; Zbl 1250.05119) Full Text: DOI arXiv
Brierley, Stephen; Weigert, Stefan Maximal sets of mutually unbiased quantum states in dimension 6. (English) Zbl 1255.81043 Phys. Rev. A (3) 78, No. 4, Article ID 042312, 8 p. (2008). MSC: 81P16 PDFBibTeX XMLCite \textit{S. Brierley} and \textit{S. Weigert}, Phys. Rev. A (3) 78, No. 4, Article ID 042312, 8 p. (2008; Zbl 1255.81043) Full Text: DOI arXiv
Nguyen, Hung Ngoc Irreducible restrictions of Brauer characters of the Chevalley group \(G_2(q)\) to its proper subgroups. (English) Zbl 1175.20013 J. Algebra 320, No. 4, 1364-1390 (2008). Reviewer: Morten E. Harris (Chicago) MSC: 20C33 20C20 PDFBibTeX XMLCite \textit{H. N. Nguyen}, J. Algebra 320, No. 4, 1364--1390 (2008; Zbl 1175.20013) Full Text: DOI arXiv
Manivel, L. Configurations of lines and models of Lie algebras. (English) Zbl 1167.17001 J. Algebra 304, No. 1, 457-486 (2006). MSC: 17B25 14J26 51E10 51E15 51E20 PDFBibTeX XMLCite \textit{L. Manivel}, J. Algebra 304, No. 1, 457--486 (2006; Zbl 1167.17001) Full Text: DOI arXiv
Abdukhalikov, Kanat Lattices invariant under the affine general linear group. (English) Zbl 1136.11044 J. Algebra 276, No. 2, 638-662 (2004). Reviewer: Pham Huu Tiep (Gainesville) MSC: 11H06 11H71 94B15 PDFBibTeX XMLCite \textit{K. Abdukhalikov}, J. Algebra 276, No. 2, 638--662 (2004; Zbl 1136.11044) Full Text: DOI
Gross, Benedict H.; Nebe, Gabriele Globally maximal arithmetic groups. (English) Zbl 1113.20040 J. Algebra 272, No. 2, 625-642 (2004). Reviewer: Kanat Abdukhalikov (Fukuoka) MSC: 20G30 20G20 11E57 PDFBibTeX XMLCite \textit{B. H. Gross} and \textit{G. Nebe}, J. Algebra 272, No. 2, 625--642 (2004; Zbl 1113.20040) Full Text: DOI arXiv
Ivanov, D. N. Orthogonal decompositions and idempotent configurations in semisimple associative algebras. (English) Zbl 1055.16005 Commun. Algebra 29, No. 9, 3839-3887 (2001). MSC: 16D70 16D60 16K20 16S34 PDFBibTeX XMLCite \textit{D. N. Ivanov}, Commun. Algebra 29, No. 9, 3839--3887 (2001; Zbl 1055.16005) Full Text: DOI
Lempken, Wolfgang; Schröder, Bernd; Pham Huu Tiep [Bachoc, Christine] Symmetric squares, spherical designs, and lattice minima. Appendix: Two-designs and code minima by Christine Bachoc and Pham Huu Tiep. (English) Zbl 1012.11054 J. Algebra 240, No. 1, 185-208 (2001). Reviewer: K.Roegner (Berlin) MSC: 11H50 05B05 11H71 51E05 PDFBibTeX XMLCite \textit{W. Lempken} et al., J. Algebra 240, No. 1, 185--208 (2001; Zbl 1012.11054) Full Text: DOI
Preface (Alexei Ivanovich Kostrikin on the occasion of his seventieth birthday). (English) Zbl 0922.01032 J. Math. Sci., New York 93, No. 6, 801-808 (1999). MSC: 01A70 01A65 PDFBibTeX XMLCite J. Math. Sci., New York 93, No. 6, 801--808 (1999; Zbl 0922.01032) Full Text: DOI
Jaeger, François; Matsumoto, Makoto; Nomura, Kazumasa Bose-Mesner algebras related to type II matrices and spin models. (English) Zbl 0974.05084 J. Algebr. Comb. 8, No. 1, 39-72 (1998). MSC: 05E30 PDFBibTeX XMLCite \textit{F. Jaeger} et al., J. Algebr. Comb. 8, No. 1, 39--72 (1998; Zbl 0974.05084) Full Text: DOI
Scharlau, Rudolf; Pham Huu Tiep Symplectic groups, symplectic spreads, codes, and unimodular lattices. (English) Zbl 0887.20004 J. Algebra 194, No. 1, 113-156 (1997). Reviewer: U.Dempwolff (Kaiserslautern) MSC: 20C10 20G40 11H56 94B27 11T71 51E15 51E25 PDFBibTeX XMLCite \textit{R. Scharlau} and \textit{Pham Huu Tiep}, J. Algebra 194, No. 1, 113--156 (1997; Zbl 0887.20004) Full Text: DOI Link
Tiep, Pham Huu A remark on a theorem of P. de la Harpe and V. F. R. Jones. (English) Zbl 0866.46036 Arch. Math. 67, No. 5, 367-378 (1996). Reviewer: Pham Huu Tiep (Essen) MSC: 46L05 05C50 PDFBibTeX XMLCite \textit{P. H. Tiep}, Arch. Math. 67, No. 5, 367--378 (1996; Zbl 0866.46036) Full Text: DOI