Remote Access Representation Theory
Green Open Access

Representation Theory

ISSN 1088-4165



A topological approach to induction theorems in Springer theory

Author: David Treumann
Journal: Represent. Theory 13 (2009), 8-18
MSC (2000): Primary 32S30
Published electronically: February 6, 2009
MathSciNet review: 2480385
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: We give a self-contained account of a construction due to Rossmann, which lifts Springer's action of a Weyl group on the cohomology of a Springer fiber to an action on its homotopy type. We use this construction to produce a generalization of an ``induction theorem'' of Alvis and Lusztig, which relates the Springer representations attached to a reductive group to those attached to a Levi subgroup. Our generalization applies to more general centralizers and to representations of Weyl groups on mod $ p$ cohomology.

References [Enhancements On Off] (What's this?)

Similar Articles

Retrieve articles in Representation Theory of the American Mathematical Society with MSC (2000): 32S30

Retrieve articles in all journals with MSC (2000): 32S30

Additional Information

David Treumann
Affiliation: Department of Mathematics, 127 Vincent Hall, 206 Church St. S.E., Minneapolis, Minnesota 55455

Received by editor(s): October 14, 2008
Published electronically: February 6, 2009
Article copyright: © Copyright 2009 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.