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arXiv · 0710.3232

Reflection Groups and Differential Forms

Julia Hartmann·Anne V. Shepler
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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.

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Julia Hartmann, Anne V. Shepler. 2007-10-17. Reflection Groups and Differential Forms. https://arxiv.org/abs/0710.3232

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