Lusztig's a function for Coxeter groups of rank 3

2011/07/11 by Peipei Zhou, Zhou, Peipei
Mathematics · #Advanced Combinatorial Mathematics #Algebraic structures and combinatorial models #FOS: Mathematics #Quantum Algebra (math.QA) #Random Matrices and Applications #Representation Theory (math.RT)

paper · pdf · doi:10.48550/arxiv.1107.1995

openalex publication_date 2011/07/11 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We show that Lusztig's a-function of a Coxeter group is bounded if the rank of the Coxeter group is 3.

Related

• The boundedness of Lusztig's a-function for Coxeter groups of finite rank
• Lusztig's a-function for Coxeter groups with complete graphs
• Conjectures P1-P15 for hyperbolic Coxeter groups of rank 3
• The boundness of weighted Coxeter groups of rank 3
• Representations of Coxeter groups of Lusztig's a-function value 1