Extending the Coinvariant Theorems of Chevalley, Shephard--Todd, Mitchell and Springer
Commutative Algebra
2014-02-26 v2 General Topology
Abstract
We extend in several directions invariant theory results of Chevalley, Shephard and 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.
Keywords
Cite
@article{arxiv.0805.3694,
title = {Extending the Coinvariant Theorems of Chevalley, Shephard--Todd, Mitchell and Springer},
author = {Abraham Broer and Victor Reiner and Larry Smith and Peter Webb},
journal= {arXiv preprint arXiv:0805.3694},
year = {2014}
}
Comments
The applications and Examples in section 4 have been extended