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- W4300486914 abstract "In a recent paper we claimed that both the group algebra of a finite Coxeter group $W$ as well as the Orlik-Solomon algebra of $W$ can be decomposed into a sum of induced one-dimensional representations of centralizers, one for each conjugacy class of elements of $W$, and gave a uniform proof of this claim for symmetric groups. In this note we outline an inductive approach to our conjecture. As an application of this method, we prove the inductive version of the conjecture for finite Coxeter groups of rank up to 2." @default.
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- W4300486914 date "2011-04-04" @default.
- W4300486914 modified "2023-10-03" @default.
- W4300486914 title "An Inductive Approach to Coxeter Arrangements and Solomon's Descent Algebra" @default.
- W4300486914 doi "https://doi.org/10.48550/arxiv.1104.0551" @default.
- W4300486914 hasPublicationYear "2011" @default.
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