ar X iv : 0 71 0 . 32 32 v 1 [ m at h . R T ] 1 7 O ct 2 00 7 REFLECTION GROUPS AND DIFFERENTIAL FORMS
نویسنده
چکیده
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.
منابع مشابه
ar X iv : h ep - t h / 01 10 17 9 v 1 1 9 O ct 2 00 1 Noncommutative Differential Geometry and Classical Field Theory on Finite Groups ∗
Plan of this report is given below 1. Motivation from Physical and Mathematical Point of View 2. Differential Calculi on Finite Groups 3. Metrics 4. Lagrangian Field Theory and Symplectic Structure 5. Scalar Field Theory and Spectral of Finite Groups
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تاریخ انتشار 2008