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Equivalences for blocks of the Weyl groups
Author(s):
Radha
Kessar
Journal:
Proc. Amer. Math. Soc.
128
(2000),
337-346.
MSC (1991):
Primary 20Cxx
Posted:
July 6, 1999
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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:
10.1090/S0002-9939-99-05151-5
PII:
S 0002-9939(99)05151-5
Received by editor(s):
March 30, 1998
Posted:
July 6, 1999
Communicated by:
Ronald M. Solomon
Copyright of article:
Copyright
1999,
American Mathematical Society
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