Reflection Groups and Differential Forms

• Autores: Julia Hartmann, Anne V. Shepler
• Localización: Mathematical research letters, ISSN 1073-2780, Vol. 14, Nº 5, 2007, págs. 955-971
• Idioma: inglés
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• Resumen

  • 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.