Equivalences for blocks of the Weyl groups

Radha Kessar. 

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

                       
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.