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Weight conjectures for fusion systems

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journal contribution
posted on 05.12.2019, 12:34 by Radha KessarRadha Kessar, Markus LinckelmannMarkus Linckelmann, Justin Lynd, Jason Semeraro
Many of the conjectures of current interest in the representation theory of finite groups in characteristic p are local-to-global statements, in that they predict consequences for the representations of a finite group G given data about the representations of the p-local subgroups of G. The local structure of a block of a group algebra is encoded in the fusion system of the block together with a compatible family of Külshammer-Puig cohomology classes. Motivated by conjectures in block theory, we state and initiate investigation of a number of seemingly local conjectures for arbitrary triples (S, f, a) consisting of a saturated fusion system f on a finite p-group S and a compatible family α.

History

Citation

Advances in Mathematics, Volume 357, 1 December 2019, 106825

Author affiliation

Heilbronn Institute for Mathematical Research, Department of Mathematics

Version

AM (Accepted Manuscript)

Published in

Advances in Mathematics

Volume

357

Publisher

Elsevier

issn

0001-8708

eissn

1090-2082

Acceptance date

11/09/2019

Copyright date

2019

Available date

05/12/2019

Publisher version

https://www.sciencedirect.com/science/article/pii/S0001870819304426

Notes

Deposited in CRIS 06/11/2019 TM

Language

en

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