Equivalences for blocks of the Weyl groups

Kessar, Radha

doi:10.1090/S0002-9939-99-05151-5

Equivalences for blocks of the Weyl groups
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by Radha Kessar

Proc. Amer. Math. Soc. 128 (2000), 337-346

DOI: https://doi.org/10.1090/S0002-9939-99-05151-5

Published electronically: 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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