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 Bulletin of the American Mathematical Society
Bulletin of the American Mathematical Society
ISSN 1088-9485(e) ISSN 0273-0979(p)

     

Book Review

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Book Information

Author(s): Stuart Martin
Title: Schur algebras and representation theory
Additional book information: Cambridge Tracts in Math., vol. 112, Cambridge University Press, Cambridge, 1993, xv + 232 pp., $44.95, ISBN 0-521-41591-8

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R. Dipper, Polynomial representations of finite general linear groups in non-describing characteristic, Progress in Mathematics, vol. 95, Birkhäuser, Basel, 1991, pp. 343--370. MR 92h:20018

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R. Dipper and S. Donkin, Quantum $GL_n$, Proc. London Math. Soc. 63 (1991), 165--211. MR 92g:16055

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R. Dipper and G. James, The $q$-Schur algebra, J. London Math. Soc. 59 (1989), 23--50. MR 90g:16026

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S. Donkin, The blocks of a semisimple group, J. Algebra 67 (1980), 36--53.

[Do2]
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[DPW]
J. Du, B. Parshall, and J.-p. Wang, Two-parameter quantum linear groups and the hyperbolic invariance of $q$-Schur algebras, J. London Math. Soc. 44 (1991), 420--436. MR 93d:20084

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G. Frobenius, Über die Charaktere der symmetrischen Groupe, G. Frobenius: Gesammelte Abhandlungen 3 (1968), Heidelberg: Springer-Verlag, pp. 167--179. MR 38:4272

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J.A. Green, Polynomial representations of $GL_n$, Springer Lecture Notes in Math., vol. 830, Springer-Verlag, Berlin and New York, 1980. MR 83j:20003

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I. Schur, Über eine Klasse von Matrizen, die sich einer gegeben Matrix zuordnen lassen, I. Schur: Gesammelte Abhandlungen 1 (1973), Berlin: Springer-Verlag, pp. 1--71. MR 57:2858a

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Additional Information:

Reviewer(s):
Brian Parshall
Affiliation: University of Virginia
Email: bjp8w@virginia.edu

Review Information:
Journal: Bull. Amer. Math. Soc. 33 (1996), 371-375.

MSC (1991): Primary 20G05, 20C30, 16G10, 17B37
DOI: 10.1090/S0273-0979-96-00663-5
PII: S 0273-0979(96)00663-5
Copyright of article: Copyright 1996, American Mathematical Society




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