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

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

2008-05-24

arxiv.org/abs/0805.3694v2

Mathematics

Commutative Algebra

The applications and Examples in section 4 have been extended

Scientific paper

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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