Reflection Groups and Differential Forms

Details Reflection Groups and Differential Forms Reflection Groups and Differential Forms

2007-10-17

arxiv.org/abs/0710.3232v1

Mathematics

Representation Theory

16 pages

Scientific paper

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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