Extending the coinvariant theorems of Chevalley, Shephard-Todd, Mitchell, and Springer

Abraham Broer, Victor Reiner, Larry Smith, Peter Webb

Research output: Contribution to journalArticlepeer-review

5 Scopus citations

Abstract

We extend in several directions invariant theory results of Chevalley, Shephard-Todd, Mitchell, and Springer. Their results compare the group algebra for a finite reflection group with its coinvariant algebra, and compare a group representation with its module of relative coinvariants. Our extensions apply to arbitrary finite groups in any characteristic.

Original languageEnglish (US)
Pages (from-to)747-785
Number of pages39
JournalProceedings of the London Mathematical Society
Volume103
Issue number5
DOIs
StatePublished - Nov 2011

Bibliographical note

Funding Information:
The work of the first-named author was supported by NSERC. The work of the second-named author was supported by NSF grant DMS-0245379. The work of the fourth-named author was supported by MSRI.

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