Representations of Coxeter groups of Lusztig's a-function value 1

Abstract

In this paper, we give a characterization of Coxeter group representations of Lusztig's a-function value 1, then determine all the irreducible such representations for certain simply laced Coxeter groups.

arXiv commentRevised version of part of arXiv:2112.03771. Comments welcome

References in corpus (3)

• On the subregular $J$-rings of Coxeter systems
• Reflection Representations of Coxeter Groups and Homology of Coxeter Graphs
• Some infinite-dimensional representations of certain Coxeter groups