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Bulletin of the American Mathematical Society

Published by the American Mathematical Society, the Bulletin of the American Mathematical Society (BULL) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

ISSN 1088-9485 (online) ISSN 0273-0979 (print)

The 2020 MCQ for Bulletin of the American Mathematical Society is 0.47.

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Book Review

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Book Information:

Author: Lluis Puig
Title: On the local structure of Morita and Rickard equivalences between Brauer blocks
Additional book information: Progress in Math., vol. 178, Birkhäuser, Basel, 1999, 261 pp., ISBN 3-7643-6156-5, $98.00$

References [Enhancements On Off] (What's this?)

M. Broué, Equivalences between block algebras: an introduction, in ``Finite dimensional algebras and related topics'', Kluwer Academic, Dordrecht, Netherlands, 1994, pp. 1-26. MR 97c:20004
M. Broué, Rickard equivalences and block theory, in ``Groups '93 Galway - St. Andrews'', London Math. Soc. Lecture Notes Series 211, Cambridge Univ. Press, 1995, pp. 58-79. MR 96d:20011
S. König, A. Zimmermann, ``Derived equivalences for group rings'', Lecture Notes in Math. 1685, Springer Verlag, Berlin, 1998. MR 2000g:16018
M. Linckelmann, The isomorphism problem for cyclic blocks and their source algebras, Invent. Math. 125 (1996), 265-283. MR 97h:20010
M. Linckelmann, The source algebras of blocks with a Klein four defect group, J. Algebra 167 (1994), 821-854. MR 95h:20014
L. Puig, Pointed groups and construction of characters, Math. Z. 176 (1981), 209-216. MR 82d:20015
L. Puig, Nilpotent blocks and their source algebras, Invent. Math. 93 (1988), 77-116. MR 89e:20023
L. Puig, Algèbres de source de certains blocs des groupes de Chevalley, Astérisque 181-182 (1990), 221-236. MR 92e:20007
L. Puig, On Joanna Scopes' criterion of equivalence for blocks of symmetric groups, Algebra Colloq. 1 (1994), 25-55. MR 95f:20020
J. Rickard, Derived equivalences as derived functors, J. London Math. Soc. 43 (1991), 37-48. MR 92b:16043
J. Rickard, Splendid equivalences: Derived categories and permutation modules, Proc. London Math. Soc. 72 (1996), 331-358. MR 97b:20011
J. Thévenaz, ``$G$-algebras and modular representation theory'', Oxford Math. Monographs, Clarendon Press, Oxford, 1995. MR 96j:20017

Review Information:

Reviewer: Jacques Thévenaz
Affiliation: Université de Lausanne
Journal: Bull. Amer. Math. Soc. 38 (2001), 97-100
Published electronically: October 2, 2000
Additional Notes: This review is an expanded version of a review in French which appeared in the Gazette des Mathématiciens.
Review copyright: © Copyright 2000 American Mathematical Society