Book Review
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MathSciNet review:
1567987
Full text of review:
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Book Information:
Author:
Gregory Karpilovsky
Title:
Symmetric and G-algebras (with applications to group representations)
Additional book information:
Kluwer Academic Publishers, Dordrecht, 1990, 366 pp., US$99.00. ISBN 0-7923-0761-5.
J. L. Alperin, Local representation theory, Cambridge Studies in Advanced Mathematics, vol. 11, Cambridge University Press, Cambridge, 1986. Modular representations as an introduction to the local representation theory of finite groups. MR 860771, DOI 10.1017/CBO9780511623592
Charles W. Curtis and Irving Reiner, Methods of representation theory. Vol. I, Pure and Applied Mathematics, John Wiley & Sons, Inc., New York, 1981. With applications to finite groups and orders. MR 632548
Everett C. Dade, Group-graded rings and modules, Math. Z. 174 (1980), no. 3, 241–262. MR 593823, DOI 10.1007/BF01161413
Walter Feit, The representation theory of finite groups, North-Holland Mathematical Library, vol. 25, North-Holland Publishing Co., Amsterdam-New York, 1982. MR 661045
Morton E. Harris, On classical Clifford theory, Trans. Amer. Math. Soc. 309 (1988), no. 2, 831–842. MR 961616, DOI 10.1090/S0002-9947-1988-0961616-6
Burkhard Külshammer, Lectures on block theory, London Mathematical Society Lecture Note Series, vol. 161, Cambridge University Press, Cambridge, 1991. MR 1121499, DOI 10.1017/CBO9780511565786
Jean-Pierre Serre, Linear representations of finite groups, Graduate Texts in Mathematics, Vol. 42, Springer-Verlag, New York-Heidelberg, 1977. Translated from the second French edition by Leonard L. Scott. MR 0450380
- [1]
- J. L. Alperin, Local representation theory, Cambridge Univ. Press, Cambridge, 1986. MR 860771 (87i:20002)
- [2]
- C. W. Curtis and I. Reiner, Methods of representation theory, vol. I, John Wiley and Sons, New York, 1981. MR 632548 (82i:20001)
- [3]
- E. C. Dade, Group-graded rings and modules, Math. Z. 174 (1980), 241-262. MR 593823 (82c:16028)
- [4]
- W. Feit, The representation theory of finite groups, North-Holland, New York, 1982. MR 661045 (83g:20001)
- [5]
- M. E. Harris, On classical Clifford theory, Trans. Amer. Math. Soc. 309 (1988), 831-842. MR 961616 (89i:20023)
- [6]
- B. Külshammer, Lectures on block theory, Cambridge Univ. Press, Cambridge, 1991. MR 1121499 (92h:20020)
- [7]
- J. P. Serre, Linear representation of finite groups, Springer-Verlag, New York, 1977. MR 0450380 (56:8675)
Review Information:
Reviewer:
Morton E. Harris
Journal:
Bull. Amer. Math. Soc.
27 (1992), 203-204
DOI:
https://doi.org/10.1090/S0273-0979-1992-00307-5