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Equivalences for blocks of the Weyl groups


Author: Radha Kessar
Journal: Proc. Amer. Math. Soc. 128 (2000), 337-346
MSC (1991): Primary 20Cxx
DOI: https://doi.org/10.1090/S0002-9939-99-05151-5
Published electronically: July 6, 1999
MathSciNet review: 1641108
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Abstract: We describe the source algebras of the blocks of the Weyl groups of type B and type D in terms of the source algebras of the blocks of the symmetric groups. As a consequence, we show that Puig's conjecture on the finiteness of the number of isomorphism classes of source algebras for blocks of finite groups with a fixed defect group holds for these classes of groups. We also show how certain isomorphisms between subalgebras of block algebras of the symmetric groups can be lifted to block algebras of the Weyl groups of type B.


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Additional Information

Radha Kessar
Affiliation: Department of Mathematics, University of Minnesota, 206 Church Street, S.E., Minneapolis, Minnesota 55455
Email: kessar@math.umn.edu

DOI: https://doi.org/10.1090/S0002-9939-99-05151-5
Received by editor(s): March 30, 1998
Published electronically: July 6, 1999
Communicated by: Ronald M. Solomon
Article copyright: © Copyright 1999 American Mathematical Society