Reflection Groups and Differential Forms

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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.
16 pages

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Representation Theory, Commutative Algebra, 13A50, 20C, 52C35

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http://salesiana.dossiersoluciones.com/handle/123456789/140203

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0710.3232
 http://arxiv.org/abs/0710.3232

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arXiv