Mathematical Research Letters

Volume 14, Issue 6, November 2007 pp. 955-971.

Reflection Groups and Differential Forms

Authors: Julia Hartmann (1) and Anne V. Shepler (2)
Author institution: University of Heidelberg (1) and University of North Texas (2)

Summary: 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.

Contents Full-Text PDF