2009/03/09 by Vincent Beck, Beck, Vincent
Mathematics · #13A50 #15A75 #Advanced Algebra and Geometry #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Group Theory (math.GR) #Rings and Algebras (math.RA) #math.GR #math.RA #msc:13A50 #msc:15A75
paper · pdf · doi:10.48550/arxiv.0903.1586
26 pages
arxiv created 2009/03/09 · openalex publication_date 2009/03/09 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Let G be a reflection group acting on a vector space V (over a field with zero characteristic). We denote by S(V^*) the coordinate ring of V, by M a finite dimensional G-module and by χ a one-dimensional character of G. In this article, we define an algebra structure on the isotypic component associated to χ of the algebra S(V^*) ⊗ Λ(M^*). This structure is then used to obtain various generalizations of usual criterions on regularity of integers.