Sousa Ferreira, Ronaldo José; Lopatin, Artem Minimal generating and separating sets for \(\mathrm{O}(3)\)-invariants of several matrices. (English) Zbl 07812142 Oper. Matrices 17, No. 3, 639-651 (2023). MSC: 16R30 15B10 13A50 PDFBibTeX XMLCite \textit{R. J. Sousa Ferreira} and \textit{A. Lopatin}, Oper. Matrices 17, No. 3, 639--651 (2023; Zbl 07812142) Full Text: DOI arXiv
Rao, Ravi A.; Sharma, Sampat Generalised homotopy and commutativity principle. (English) Zbl 1509.13014 J. Pure Appl. Algebra 227, No. 6, Article ID 107309, 14 p. (2023). Reviewer: Moshe Roitman (Haifa) MSC: 13C10 13H99 19B14 PDFBibTeX XMLCite \textit{R. A. Rao} and \textit{S. Sharma}, J. Pure Appl. Algebra 227, No. 6, Article ID 107309, 14 p. (2023; Zbl 1509.13014) Full Text: DOI arXiv
First, Uriya A.; Reichstein, Zinovy; Williams, Ben On the number of generators of an algebra over a commutative ring. (English) Zbl 1517.16014 Trans. Am. Math. Soc. 375, No. 10, 7277-7321 (2022). Reviewer: Stefaan Caenepeel (Brussels) MSC: 16H05 14L30 16S15 14F25 55R40 17A36 13E15 20G10 14M17 PDFBibTeX XMLCite \textit{U. A. First} et al., Trans. Am. Math. Soc. 375, No. 10, 7277--7321 (2022; Zbl 1517.16014) Full Text: DOI arXiv
Chattopadhyay, Pratyusha An analogue of a result of Tits for transvection groups. (English) Zbl 1483.13026 Math. Z. 300, No. 3, 2719-2735 (2022). Reviewer: Wilberd van der Kallen (Utrecht) MSC: 13C10 20G35 14L35 15A24 20H25 13D15 19B10 19B37 15A63 PDFBibTeX XMLCite \textit{P. Chattopadhyay}, Math. Z. 300, No. 3, 2719--2735 (2022; Zbl 1483.13026) Full Text: DOI arXiv
Lopatin, Artem Indecomposable orthogonal invariants of several matrices over a field of positive characteristic. (English) Zbl 1466.16023 Int. J. Algebra Comput. 31, No. 1, 161-171 (2021). Reviewer: Plamen Koshlukov (Campinas) MSC: 16R30 15B10 13A50 PDFBibTeX XMLCite \textit{A. Lopatin}, Int. J. Algebra Comput. 31, No. 1, 161--171 (2021; Zbl 1466.16023) Full Text: DOI arXiv
Bik, Arthur Noetherianity up to conjugation of locally diagonal inverse limits. (English) Zbl 1431.13023 Linear Algebra Appl. 582, 237-290 (2019). Reviewer: Ivo M. Michailov (Shumen) MSC: 13E05 17B45 14L30 PDFBibTeX XMLCite \textit{A. Bik}, Linear Algebra Appl. 582, 237--290 (2019; Zbl 1431.13023) Full Text: DOI arXiv
Chen, Yin; Tang, Zhongming Vector invariant fields of finite classical groups. (English) Zbl 1429.13009 J. Algebra 534, 129-144 (2019). Reviewer: Matyas Domokos (Budapest) MSC: 13A50 PDFBibTeX XMLCite \textit{Y. Chen} and \textit{Z. Tang}, J. Algebra 534, 129--144 (2019; Zbl 1429.13009) Full Text: DOI arXiv
Stavrova, Anastasia Isotropic reductive groups over discrete Hodge algebras. (English) Zbl 1451.19003 J. Homotopy Relat. Struct. 14, No. 2, 509-524 (2019). MSC: 19B28 20G07 20G10 20G15 14L35 14F20 13C10 19A99 PDFBibTeX XMLCite \textit{A. Stavrova}, J. Homotopy Relat. Struct. 14, No. 2, 509--524 (2019; Zbl 1451.19003) Full Text: DOI arXiv
Kaygorodov, Ivan; Lopatin, Artem; Popov, Yury Separating invariants for \(2 \times 2\) matrices. (English) Zbl 1397.16019 Linear Algebra Appl. 559, 114-124 (2018). MSC: 16R30 15B10 13A50 PDFBibTeX XMLCite \textit{I. Kaygorodov} et al., Linear Algebra Appl. 559, 114--124 (2018; Zbl 1397.16019) Full Text: DOI arXiv
Lopatin, Artem Minimal system of generators for \(O(4)\)-invariants of two skew-symmetric matrices. (English) Zbl 1414.16023 Linear Multilinear Algebra 66, No. 2, 347-356 (2018). MSC: 16R30 15B10 13A50 PDFBibTeX XMLCite \textit{A. Lopatin}, Linear Multilinear Algebra 66, No. 2, 347--356 (2018; Zbl 1414.16023) Full Text: DOI
Rao, Ravi A.; Sharma, Sampat Homotopy and commutativity principle. (English) Zbl 1372.13006 J. Algebra 484, 23-46 (2017). Reviewer: Chen Sheng (Harbin) MSC: 13C10 13H99 19B10 19B14 PDFBibTeX XMLCite \textit{R. A. Rao} and \textit{S. Sharma}, J. Algebra 484, 23--46 (2017; Zbl 1372.13006) Full Text: DOI arXiv
Kanakubo, Yuki; Nakashima, Toshiki Explicit forms of cluster variables on double Bruhat cells \(G^{u,e}\) of type C. (English) Zbl 1437.13036 Tokyo J. Math. 39, No. 3, 643-678 (2017). MSC: 13F60 14L35 20G15 PDFBibTeX XMLCite \textit{Y. Kanakubo} and \textit{T. Nakashima}, Tokyo J. Math. 39, No. 3, 643--678 (2017; Zbl 1437.13036) Full Text: DOI arXiv Euclid
Ferreira, Jorge N. M.; Fleischmann, Peter The invariant rings of the Sylow groups of \(GU (3,q^{2})\), \(GU(4,q^{2})\), \(Sp(4,q)\) and \(O^{+}(4,q)\) in the natural characteristic. (English) Zbl 1365.13008 J. Symb. Comput. 79, Part 2, 356-371 (2017). Reviewer: Şehmus Findik (Adana) MSC: 13A50 20G40 PDFBibTeX XMLCite \textit{J. N. M. Ferreira} and \textit{P. Fleischmann}, J. Symb. Comput. 79, Part 2, 356--371 (2017; Zbl 1365.13008) Full Text: DOI
Miyazaki, Mitsuhiro Action of special linear groups to the tensor of indeterminates and classical invariants of binary forms. (English) Zbl 1357.13009 J. Algebra 473, 430-446 (2017). Reviewer: Yin Chen (Changchun) MSC: 13A50 15A72 15A69 PDFBibTeX XMLCite \textit{M. Miyazaki}, J. Algebra 473, 430--446 (2017; Zbl 1357.13009) Full Text: DOI arXiv
Farashahi, A. Ghaani Classical wavelet transforms over finite fields. (English) Zbl 1412.42089 J. Linear Topol. Algebra 4, No. 4, 241-257 (2015). MSC: 42C40 12E20 13B05 12F10 81R05 20G40 PDFBibTeX XMLCite \textit{A. G. Farashahi}, J. Linear Topol. Algebra 4, No. 4, 241--257 (2015; Zbl 1412.42089) Full Text: Link
Lopatin, A. A. Orthogonal matrix invariants. (English) Zbl 1371.13010 J. Gen. Lie Theory Appl. 9, No. S1, Article ID 007, 3 p. (2015). MSC: 13A50 PDFBibTeX XMLCite \textit{A. A. Lopatin}, J. Gen. Lie Theory Appl. 9, No. S1, Article ID 007, 3 p. (2015; Zbl 1371.13010) Full Text: arXiv Euclid
Bedratyuk, Leonid; Ilash, Nadia The degree of the algebra of covariants of a binary form. (English) Zbl 1343.13007 J. Commut. Algebra 7, No. 4, 459-472 (2015). Reviewer: Matyas Domokos (Budapest) MSC: 13A50 13N15 20G05 22D10 PDFBibTeX XMLCite \textit{L. Bedratyuk} and \textit{N. Ilash}, J. Commut. Algebra 7, No. 4, 459--472 (2015; Zbl 1343.13007) Full Text: DOI arXiv Euclid
Panov, A. N. Invariants of the coadjoint action on the basic varieties of the unitriangular group. (English) Zbl 1314.14096 Transform. Groups 20, No. 1, 229-246 (2015). Reviewer: Nan Ji-Zhu (Dalian) MSC: 14L35 13A50 20G05 PDFBibTeX XMLCite \textit{A. N. Panov}, Transform. Groups 20, No. 1, 229--246 (2015; Zbl 1314.14096) Full Text: DOI arXiv
Nishiyama, Kyo Enhanced orbit embedding. (English) Zbl 1327.14212 Comment. Math. Univ. St. Pauli 63, No. 1-2, 223-232 (2014). Reviewer: Ivo M. Michailov (Shumen) MSC: 14L30 14L35 20G05 13A50 PDFBibTeX XMLCite \textit{K. Nishiyama}, Comment. Math. Univ. St. Pauli 63, No. 1--2, 223--232 (2014; Zbl 1327.14212) Full Text: arXiv
Howe, Roger Pieri algebras and Hibi algebras in representation theory. (English) Zbl 1312.22009 Howe, Roger E. (ed.) et al., Symmetry: representation theory and its applications. In honor of Nolan R. Wallach. New York, NY: Birkhäuser/Springer (ISBN 978-1-4939-1589-7/hbk; 978-1-4939-1590-3/ebook). Progress in Mathematics 257, 353-384 (2014). MSC: 22E46 13A50 22E47 14M15 15A72 20G05 PDFBibTeX XMLCite \textit{R. Howe}, Prog. Math. 257, 353--384 (2014; Zbl 1312.22009) Full Text: DOI
Galetto, Federico Computational methods for orbit closures in a representation with finitely many orbits. (English) Zbl 1322.13007 Exp. Math. 23, No. 3, 310-321 (2014). MSC: 13D02 13-04 14L35 13P99 14M17 20G05 PDFBibTeX XMLCite \textit{F. Galetto}, Exp. Math. 23, No. 3, 310--321 (2014; Zbl 1322.13007) Full Text: DOI arXiv
Sikora, Adam S. Character varieties of abelian groups. (English) Zbl 1327.14214 Math. Z. 277, No. 1-2, 241-256 (2014). MSC: 14L35 14D20 20C15 14L30 20G20 13A50 14L24 PDFBibTeX XMLCite \textit{A. S. Sikora}, Math. Z. 277, No. 1--2, 241--256 (2014; Zbl 1327.14214) Full Text: DOI arXiv
Weyl, Hermann The classical groups, their invariants and representations. Reprint of the 1946 2nd edition published by Princeton University Press. (English) Zbl 1281.20053 Texts and Readings in Mathematics 65. New Delhi: Hindustan Book Agency (ISBN 978-93-80250-35-9/pbk). xiii, 320 p. (2013). MSC: 20G05 20-03 01A75 13A50 20C15 PDFBibTeX XMLCite \textit{H. Weyl}, The classical groups, their invariants and representations. Reprint of the 1946 2nd edition published by Princeton University Press. New Delhi: Hindustan Book Agency (2013; Zbl 1281.20053)
Benanti, Francesca; Boumova, Silvia; Drensky, Vesselin; Genov, Georgi K.; Koev, Plamen Computing with rational symmetric functions and applications to invariant theory and PI-algebras. (English) Zbl 1374.13009 Serdica Math. J. 38, No. 1-3, 137-188 (2012). Reviewer: Plamen Koshlukov (Campinas) MSC: 13A50 16R10 05E05 05E10 15A72 16R30 20G05 PDFBibTeX XMLCite \textit{F. Benanti} et al., Serdica Math. J. 38, No. 1--3, 137--188 (2012; Zbl 1374.13009) Full Text: arXiv Link
Đoković, Dragomir Ž. Symplectic polynomial invariants of one or two matrices of small size. (English) Zbl 1327.13028 Int. J. Evol. Equ. 7, No. 1, 37-63 (2012). Reviewer: Vesselin Drensky (Sofia) MSC: 13A50 14L35 20G20 16R30 PDFBibTeX XMLCite \textit{D. Ž. Đoković}, Int. J. Evol. Equ. 7, No. 1, 37--63 (2012; Zbl 1327.13028) Full Text: arXiv
Ziegler, V. Book review of: T. Crespo and Z. Hajto, Algebraic groups and differential Galois theory. (English) Zbl 1291.00045 Int. Math. Nachr., Wien 221, 55-56 (2012). MSC: 00A17 12-01 12H05 13B05 14A05 17B45 20G15 34M35 12H20 14L35 PDFBibTeX XMLCite \textit{V. Ziegler}, Int. Math. Nachr., Wien 221, 55--56 (2012; Zbl 1291.00045)
Lopatin, A. A. Relations between \(O(n)\)-invariants of several matrices. (English) Zbl 1272.16024 Algebr. Represent. Theory 15, No. 5, 855-882 (2012). Reviewer: Matyas Domokos (Budapest) MSC: 16R30 15A72 13A50 PDFBibTeX XMLCite \textit{A. A. Lopatin}, Algebr. Represent. Theory 15, No. 5, 855--882 (2012; Zbl 1272.16024) Full Text: DOI arXiv
Nan, Jizhu; Qin, Yufang On invariants of some maximal subgroups of finite classical groups. (English) Zbl 1242.13009 Algebra Colloq. 19, No. 1, 149-158 (2012). Reviewer: Ming-Chang Kang (Taipei) MSC: 13A50 20G40 20E28 PDFBibTeX XMLCite \textit{J. Nan} and \textit{Y. Qin}, Algebra Colloq. 19, No. 1, 149--158 (2012; Zbl 1242.13009) Full Text: DOI Link
Sam, Steven V. Symmetric quivers, invariant theory, and saturation theorems for the classical groups. (English) Zbl 1271.20060 Adv. Math. 229, No. 2, 1104-1135 (2012). MSC: 20G05 16G20 14L24 15A72 13A50 PDFBibTeX XMLCite \textit{S. V. Sam}, Adv. Math. 229, No. 2, 1104--1135 (2012; Zbl 1271.20060) Full Text: DOI arXiv
Bedratyuk, L. P. Poincaré series of the multigraded algebras of \(\mathrm{SL}_2\)-invariants. (English. Ukrainian original) Zbl 1262.13010 Ukr. Math. J. 63, No. 6, 880-890 (2011); translation from Ukr. Mat. Zh. 63, No. 6, 755-763 (2011). Reviewer: Vesselin Drensky (Sofia) MSC: 13A50 13A02 13B25 13F20 13P99 PDFBibTeX XMLCite \textit{L. P. Bedratyuk}, Ukr. Math. J. 63, No. 6, 880--890 (2011; Zbl 1262.13010); translation from Ukr. Mat. Zh. 63, No. 6, 755--763 (2011) Full Text: DOI arXiv
Bedratyuk, Leonid Analogue of the Cayley-Sylvester formula and the Poincaré series for the algebra of invariants of \(n\)-ary form. (English) Zbl 1239.13011 Linear Multilinear Algebra 59, No. 11, 1189-1199 (2011). Reviewer: Matyas Domokos (Budapest) MSC: 13A50 05E10 20G05 PDFBibTeX XMLCite \textit{L. Bedratyuk}, Linear Multilinear Algebra 59, No. 11, 1189--1199 (2011; Zbl 1239.13011) Full Text: DOI arXiv
Howard, Benjamin J.; McAllister, Tyrrell B. Degree bounds for type-A weight rings and Gelfand-Tsetlin semigroups. (English) Zbl 1258.13028 J. Algebr. Comb. 34, No. 2, 237-249 (2011). MSC: 13H10 14L35 20G05 05E10 PDFBibTeX XMLCite \textit{B. J. Howard} and \textit{T. B. McAllister}, J. Algebr. Comb. 34, No. 2, 237--249 (2011; Zbl 1258.13028) Full Text: DOI arXiv
Lopatin, A. A. Orthogonal invariants of skew-symmetric matrices. (English) Zbl 1230.16020 Linear Multilinear Algebra 59, No. 8, 851-862 (2011). Reviewer: Plamen Koshlukov (Campinas) MSC: 16R30 15A72 13A50 14L24 16R10 15B10 PDFBibTeX XMLCite \textit{A. A. Lopatin}, Linear Multilinear Algebra 59, No. 8, 851--862 (2011; Zbl 1230.16020) Full Text: DOI arXiv
Sam, Steven V.; Weyman, Jerzy Pieri resolutions for classical groups. (English) Zbl 1245.20060 J. Algebra 329, No. 1, 222-259 (2011). Reviewer: Anda-Georgina Olteanu (Constanta) MSC: 20G05 13D02 14M12 14L35 PDFBibTeX XMLCite \textit{S. V. Sam} and \textit{J. Weyman}, J. Algebra 329, No. 1, 222--259 (2011; Zbl 1245.20060) Full Text: DOI arXiv
Ishibashi, Hiroyuki Minimal polynomials and characteristic polynomials over rings. (English) Zbl 1257.15005 JP J. Algebra Number Theory Appl. 20, No. 1, 49-60 (2011). MSC: 15A15 15A03 13B25 PDFBibTeX XMLCite \textit{H. Ishibashi}, JP J. Algebra Number Theory Appl. 20, No. 1, 49--60 (2011; Zbl 1257.15005) Full Text: Link
Crespo, Teresa; Hajto, Zbigniew Algebraic groups and differential Galois theory. (English) Zbl 1215.12001 Graduate Studies in Mathematics 122. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-5318-4/hbk). xiv, 225 p. (2011). Reviewer: Werner Kleinert (Berlin) MSC: 12-01 12H05 13B05 14A05 17B45 20G15 34M35 12H20 14L35 PDFBibTeX XMLCite \textit{T. Crespo} and \textit{Z. Hajto}, Algebraic groups and differential Galois theory. Providence, RI: American Mathematical Society (AMS) (2011; Zbl 1215.12001) Full Text: arXiv
Lopatin, A. A. On minimal generating systems for matrix \(O(3)\)-invariants. (English) Zbl 1227.16018 Linear Multilinear Algebra 59, No. 1-3, 87-99 (2011). Reviewer: Vesselin Drensky (Sofia) MSC: 16R30 13A50 15A72 PDFBibTeX XMLCite \textit{A. A. Lopatin}, Linear Multilinear Algebra 59, No. 1--3, 87--99 (2011; Zbl 1227.16018) Full Text: DOI arXiv
Lopatin, A. A. Invariants of quivers under the action of classical groups. (English) Zbl 1166.13010 J. Algebra 321, No. 4, 1079-1106 (2009). Reviewer: Rudolf Tange (York) MSC: 13A50 PDFBibTeX XMLCite \textit{A. A. Lopatin}, J. Algebra 321, No. 4, 1079--1106 (2009; Zbl 1166.13010) Full Text: DOI arXiv
Willenbring, Jeb F. Stable Hilbert series of \(\mathcal S(\mathfrak g)^{K}\) for classical groups. (English) Zbl 1131.17003 J. Algebra 314, No. 2, 844-871 (2007). Reviewer: Vesselin Drensky (Sofia) MSC: 17B35 17B10 20G20 22E46 13A50 15A72 PDFBibTeX XMLCite \textit{J. F. Willenbring}, J. Algebra 314, No. 2, 844--871 (2007; Zbl 1131.17003) Full Text: DOI arXiv
Kholodenko, A. L. New strings for old Veneziano amplitudes. II: group-theoretic treatment. (English) Zbl 1116.81066 J. Geom. Phys. 56, No. 9, 1387-1432 (2006). Reviewer: D. Ghoshal (Allahabad) MSC: 81T99 81T30 13A50 20F55 20G45 PDFBibTeX XMLCite \textit{A. L. Kholodenko}, J. Geom. Phys. 56, No. 9, 1387--1432 (2006; Zbl 1116.81066) Full Text: DOI arXiv
Chipalkatti, Jaydeep The Waring loci of ternary quartics. (English) Zbl 1061.14057 Exp. Math. 13, No. 1, 93-101 (2004). MSC: 14N05 14L35 13A50 13F20 11E76 PDFBibTeX XMLCite \textit{J. Chipalkatti}, Exp. Math. 13, No. 1, 93--101 (2004; Zbl 1061.14057) Full Text: DOI arXiv Euclid EuDML
Shmelkin, D. A. First fundamental theorem for covariants of classical groups. (English) Zbl 1042.20038 Adv. Math. 167, No. 2, 175-194 (2002). Reviewer: Vladimir L. Popov (Moskva) MSC: 20G05 14R20 15A72 13A50 14L24 PDFBibTeX XMLCite \textit{D. A. Shmelkin}, Adv. Math. 167, No. 2, 175--194 (2002; Zbl 1042.20038) Full Text: DOI
Klimek, J.; Kraśkiewicz, W.; Shimozono, M.; Weyman, J. On the Grothendieck group of modules supported in a nilpotent orbit in the Lie algebra \(gl(n)\). (English) Zbl 0997.17006 J. Pure Appl. Algebra 153, No. 3, 237-261 (2000). Reviewer: Stephanie van Willigenburg (Ithaca) MSC: 17B10 20G05 13D15 14M12 14F25 14L30 PDFBibTeX XMLCite \textit{J. Klimek} et al., J. Pure Appl. Algebra 153, No. 3, 237--261 (2000; Zbl 0997.17006) Full Text: DOI
Zubkov, A. N. Invariants of an adjoint action of classical groups. (English. Russian original) Zbl 0940.14033 Algebra Logika 38, No. 5, 549-584 (1999); translation in Algebra Logic 38, No. 5, 299-318 (1999). Reviewer: K.N.Ponomarev (Novosibirsk) MSC: 14L24 13A50 14L30 14L35 20G15 PDFBibTeX XMLCite \textit{A. N. Zubkov}, Algebra Logika 38, No. 5, 549--584 (1999; Zbl 0940.14033); translation in Algebra Logic 38, No. 5, 299--318 (1999) Full Text: EuDML
Rota, Gian-Carlo Two turning points in invariant theory. (English) Zbl 0922.13002 Math. Intell. 21, No. 1, 20-27 (1999). Reviewer: Yueh-er Kuo (Knoxville) MSC: 13A50 15-03 01A55 01A60 PDFBibTeX XMLCite \textit{G.-C. Rota}, Math. Intell. 21, No. 1, 20--27 (1999; Zbl 0922.13002) Full Text: DOI
Weyl, Hermann The classical groups, their invariants and representations. Reprint of the second edition (1946) of the 1939 original. (English) Zbl 1024.20501 Princeton Landmarks in Mathematics. Princeton, NJ: Princeton University Press. xiv, 320 p. (1997). MSC: 20G05 20-03 01A75 13A50 20C15 PDFBibTeX XMLCite \textit{H. Weyl}, The classical groups, their invariants and representations. Reprint of the second edition (1946) of the 1939 original. Princeton, NJ: Princeton University Press (1997; Zbl 1024.20501)
Domokos, Mátyás Relatively free invariant algebras of finite reflection groups. (English) Zbl 0859.16030 Trans. Am. Math. Soc. 348, No. 6, 2217-2234 (1996). Reviewer: V.Drensky (Sofia) MSC: 16W20 16R10 15A72 15A75 13A50 20F55 51F15 14L35 PDFBibTeX XMLCite \textit{M. Domokos}, Trans. Am. Math. Soc. 348, No. 6, 2217--2234 (1996; Zbl 0859.16030) Full Text: DOI
Bryant, R. M. Groups acting on polynomial algebras. (English) Zbl 0854.20054 Hartley, B. (ed.) et al., Finite and locally finite groups. Proceedings of the NATO Advanced Study Institute held in Istanbul, Turkey, 14-27 August 1994. Dordrecht: Kluwer Academic Publishers. NATO ASI Ser., Ser. C, Math. Phys. Sci. 471, 327-346 (1995). Reviewer: V.L.Popov (Moskva) MSC: 20G05 14L30 13A50 14L35 PDFBibTeX XMLCite \textit{R. M. Bryant}, NATO ASI Ser., Ser. C, Math. Phys. Sci. 471, 327--346 (1995; Zbl 0854.20054)
Umeda, Tōru The Capelli identity, a century after. (English. Japanese original) Zbl 0893.20031 Am. Math. Soc., Transl., 2. Ser. 183, 51-78 (1998); translation from Sūgaku 46, No. 3, 206-227 (1994). Reviewer: Yang Yingchen (Beijing) MSC: 20G05 15A72 13A50 17B10 01A55 17B37 17B35 46L85 46L87 16W30 14L30 PDFBibTeX XML
You, Hong; Gao, You Computation of the orders of classical groups over finite commutative rings. (English) Zbl 0828.20035 Chin. Sci. Bull. 39, No. 14, 1150-1154 (1994). MSC: 20G35 20D60 13M05 15A30 PDFBibTeX XMLCite \textit{H. You} and \textit{Y. Gao}, Chin. Sci. Bull. 39, No. 14, 1150--1154 (1994; Zbl 0828.20035)
González-Lopez, M. J.; Recio, T. Formal determination of polynomial consequences of real orthogonal matrices. (English) Zbl 0819.13012 Jacob, William B. (ed.) et al., Recent advances in real algebraic geometry and quadratic forms. Proceedings of the RAGSQUAD year, Berkeley, CA, USA, 1990-1991. Providence, RI: American Mathematical Society. Contemp. Math. 155, 141-165 (1994). Reviewer: A.Kovačec (Coimbra) MSC: 13P10 14P05 20G05 68W30 14L35 13A50 14P25 70B10 93C35 PDFBibTeX XMLCite \textit{M. J. González-Lopez} and \textit{T. Recio}, Contemp. Math. 155, 141--165 (1994; Zbl 0819.13012)
Grosshans, Frank D. The symbolic method and representation theory. (English) Zbl 0831.20056 Adv. Math. 98, No. 1, 113-142 (1993). MSC: 20G05 13A50 15A72 14L35 PDFBibTeX XMLCite \textit{F. D. Grosshans}, Adv. Math. 98, No. 1, 113--142 (1993; Zbl 0831.20056) Full Text: DOI
Strickland, Elisabetta An algorithm related to compactifications of adjoint groups. (English) Zbl 0760.20011 Effective methods in algebraic geometry, Proc. Symp., Castiglioncello/Italy 1990, Prog. Math. 94, 483-489 (1991). Reviewer: V.F.Ignatenko (Simferopol) MSC: 20G05 14M17 14L35 13D40 20F55 PDFBibTeX XMLCite \textit{E. Strickland}, Prog. Math. None, 483--489 (1991; Zbl 0760.20011)
Kung, Joseph P. S. Canonical forms of binary forms: Variations on a theme of Sylvester. (English) Zbl 0708.15013 Invariant theory and tableaux, Proc. Workshop, Minneapolis/MN (USA) 1988, IMA Vol. Math. Appl. 19, 46-58 (1990). Reviewer: M.Peters MSC: 15A72 13A50 11E16 15A21 11C08 15-03 PDFBibTeX XML
Kraskiewicz, Witold; Pragacz, Piotr Foncteurs de Schubert. (Schubert functors). (French) Zbl 0642.13011 C. R. Acad. Sci., Paris, Sér. I 304, 209-211 (1987). Reviewer: Lawrence G.Roberts MSC: 13D03 14M12 18G10 20G05 15A15 PDFBibTeX XMLCite \textit{W. Kraskiewicz} and \textit{P. Pragacz}, C. R. Acad. Sci., Paris, Sér. I 304, 209--211 (1987; Zbl 0642.13011)
Mason, A. W. Free quotients of congruence subgroups of \(SL_ 2\) over a Dedekind ring of arithmetic type contained in a function field. (English) Zbl 0619.20030 Math. Proc. Camb. Philos. Soc. 101, 421-429 (1987). Reviewer: G.Rosenberger MSC: 20H05 20E07 11R58 20G35 11E57 11F06 13F05 PDFBibTeX XMLCite \textit{A. W. Mason}, Math. Proc. Camb. Philos. Soc. 101, 421--429 (1987; Zbl 0619.20030) Full Text: DOI
Fine, Benjamin Cyclotomic equations and square properties in rings. (English) Zbl 0592.10018 Int. J. Math. Math. Sci. 9, 89-95 (1986). Reviewer: G.Rosenberger MSC: 11E57 11E04 13F99 20G99 PDFBibTeX XMLCite \textit{B. Fine}, Int. J. Math. Math. Sci. 9, 89--95 (1986; Zbl 0592.10018) Full Text: DOI EuDML
Kraft, Hanspeter Geometrische Methoden in der Invariantentheorie. (Geometric methods in the theory of invariants). 2., durchges. Aufl. 2., durchges. Aufl. (German) Zbl 0669.14003 Aspects of Mathematics, D1. Braunschweig etc.: Friedr. Vieweg & Sohn. x, 308 S. (1985). MSC: 14L24 14L30 14-02 20G05 13-02 15A72 57S25 PDFBibTeX XMLCite \textit{H. Kraft}, Geometrische Methoden in der Invariantentheorie. (Geometric methods in the theory of invariants). 2., durchges. Aufl. Braunschweig etc.: Friedr. Vieweg \&| Sohn (1985; Zbl 0669.14003)
Kottwitz, Robert E. Isocrystals with additional structure. (English) Zbl 0597.20038 Compos. Math. 56, 201-220 (1985). Reviewer: H.-J.Bartels MSC: 20G05 20G25 13K05 14L35 PDFBibTeX XMLCite \textit{R. E. Kottwitz}, Compos. Math. 56, 201--220 (1985; Zbl 0597.20038) Full Text: Numdam EuDML
Rao, Ravi A. On projective \(R_{f_ 1\dots f_ t}\)-modules. (English) Zbl 0586.13010 Am. J. Math. 107, 387-406 (1985). Reviewer: J.Rosenknop MSC: 13C10 13F20 14L35 20G35 PDFBibTeX XMLCite \textit{R. A. Rao}, Am. J. Math. 107, 387--406 (1985; Zbl 0586.13010) Full Text: DOI
Rotillon, Denis Deux contre-exemples à une conjecture de R. Stanley sur les anneaux d’invariants intersections completes. (French) Zbl 0507.20020 C. R. Acad. Sci., Paris, Sér. I 292, 345-348 (1981). MSC: 20H20 15A72 51F15 20G20 13H10 51N35 PDFBibTeX XMLCite \textit{D. Rotillon}, C. R. Acad. Sci., Paris, Sér. I 292, 345--348 (1981; Zbl 0507.20020)
Gupta, Surender K.; Murthy, M. Pavaman Suslin’s work on linear groups over polynomial rings and Serre problem. (English) Zbl 0453.13007 ISI Lecture Notes, No. 8. Delhi etc.: The Macmillan Company of India Limited. V, 113 p. Rs. 32.00 (1980). MSC: 13C10 13-02 13D15 13F20 14L35 20G35 PDFBibTeX XML
Platonov, V. P. Reduced K-theory and approximation in algebraic groups. (English. Russian original) Zbl 0417.16012 Proc. Steklov Inst. Math. 142, 213-224 (1979); translation from Tr. Mat. Inst. Steklov 142, 198-207 (1976). MSC: 16E20 16Kxx 16W60 16P10 11R52 11E57 13A18 20G15 20G25 20G30 PDFBibTeX XMLCite \textit{V. P. Platonov}, Proc. Steklov Inst. Math. 142, 213--224 (1976; Zbl 0417.16012); translation from Tr. Mat. Inst. Steklov 142, 198--207 (1976)
Weyl, Hermann The classical groups, their invariants and representations. 2nd ed. (English) Zbl 1024.20502 Princeton Mathematical Series. 1. Princeton, NJ: Princeton University Press, xiii, 320 p. (1946). MSC: 20G05 20-03 01A75 13A50 20C15 PDFBibTeX XMLCite \textit{H. Weyl}, The classical groups, their invariants and representations. 2nd ed. Princeton, NJ: Princeton University Press (1946; Zbl 1024.20502)