TY - JOUR
T1 - Equivalences for blocks of the weyl groups
AU - Kessar, R.
PY - 2000
Y1 - 2000
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?eid=2-s2.0-22844453404&partnerID=MN8TOARS
UR - https://www.scopus.com/pages/publications/22844453404
U2 - 10.1090/s0002-9939-99-05151-5
DO - 10.1090/s0002-9939-99-05151-5
M3 - Article
SN - 0002-9939
VL - 128
SP - 337
EP - 346
JO - Proceedings of the American Mathematical Society
JF - Proceedings of the American Mathematical Society
IS - 2
ER -