2007/10/17 by Julia Hartmann, Hartmann, Julia, Anne V. Shepler +1
Mathematics · #13A50 #20C #52C35 #Advanced Algebra and Geometry #Advanced Topics in Algebra #Algebraic structures and combinatorial models #Commutative Algebra (math.AC) #FOS: Mathematics #Representation Theory (math.RT) #math.AC #math.RT #msc:13A50 #msc:20C #msc:52C35
paper · pdf · doi:10.48550/arxiv.0710.3232
16 pages
arxiv created 2007/10/17 · openalex publication_date 2007/10/17 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.