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arXiv · 0805.3694

Extending the Coinvariant Theorems of Chevalley, Shephard--Todd, Mitchell and Springer

Abraham Broer·Victor Reiner·Larry Smith·Peter Webb
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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.

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Abraham Broer, Victor Reiner, Larry Smith, Peter Webb. 2008-11-03. Extending the Coinvariant Theorems of Chevalley, Shephard--Todd, Mitchell and Springer. https://doi.org/10.1112/plms%2Fpdq027

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