The Based Ring of Two-Sided Cells of Affine Weyl Groups of Type A_n-1

2000/10/16 by Nanhua Xi, Nanhua XI, XI, Nanhua
Mathematics · #16S80 #18F25 #20C07 #20G05 #Advanced Algebra and Geometry #Advanced Combinatorial Mathematics #Algebraic structures and combinatorial models #FOS: Mathematics #Quantum Algebra (math.QA) #Representation Theory (math.RT) #math.QA #math.RT #msc:16S80 #msc:18F25 #msc:20C07 #msc:20G05

paper · pdf · doi:10.48550/arxiv.math/0010159

Latex file, viii+95 pages

arxiv created 2000/10/16 · openalex publication_date 2000/10/16 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper we prove Lusztig's conjecture on based ring for an affine Weyl group of type A_n-1.

Related

• The based rings of two-sided cells in an affine weyl group of type B₃, I
• The Based Rings of Two-sided cells in an Affine Weyl group of type B₃, IV
• The Based Rings of Two-sided cells in an Affine Weyl group of type B₃, III
• The based rings of two-sided cells in an affine Weyl group of type B₃, II
• The based ring of the lowest two-sided cell of an affine Weyl group, III