About this Mathematics article
Equivariant character correspondences and inductive McKay condition for type A by Marc Cabanes; Britta Späth is a Mathematics article available to read on EtoBox.
## Abstract As a step to establish the McKay conjecture on character degrees of finite groups, we verify the inductive McKay condition introduced by Isaacs–Malle–Navarro for simple groups of Lie type A n - 1 {\mathsf{A}\_{n-1}} , split or twisted. Key to the proofs is the study of certain characters of SL n ( q ) {{\mathrm{SL}}\_{n}(q)} and SU n ( q ) {{\mathrm{SU}}\_{n}(q)} related to generalized Gelfand–Graev representations. As a by-product we can show that a Jordan decomposition for the characters of the latter groups is equivariant under outer automorphisms. Many ideas seem applicable to other Lie types.
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- Author
- Marc Cabanes; Britta Späth
- Publisher
- Walter de Gruyter GmbH
- Published
- 2015
- Language
- EN
- Field
- Mathematics (Physical Sciences)