Reflection Groups and Differential Forms
Representation Theory
2007-10-18 v1 Commutative Algebra
Abstract
We study differential forms invariant under a finite reflection group over a field of arbitrary characteristic. In particular, we prove an analogue of Saito's freeness criterion for invariant differential 1-forms. We also discuss how twisted wedging endows the invariant forms with the structure of a free exterior algebra in certain cases. Some of the results are extended to the case of relative invariants with respect to a linear character.
Keywords
Cite
@article{arxiv.0710.3232,
title = {Reflection Groups and Differential Forms},
author = {Julia Hartmann and Anne V. Shepler},
journal= {arXiv preprint arXiv:0710.3232},
year = {2007}
}
Comments
16 pages