Skip to Main Content

Proceedings of the American Mathematical Society

Published by the American Mathematical Society, the Proceedings of the American Mathematical Society (PROC) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.

 

Fully commutative elements and Kazhdan-Lusztig cells in the finite and affine Coxeter groups, II
HTML articles powered by AMS MathViewer

by Jian-yi Shi PDF
Proc. Amer. Math. Soc. 133 (2005), 2525-2531 Request permission

Abstract:

Let $W$ be an irreducible finite or affine Coxeter group and let $W_{\mathrm {c}}$ be the set of fully commutative elements in $W$. We prove that the set $W_{\mathrm {c}}$ is closed under the Kazhdan-Lusztig preorder ${\underset {{LR}}{\geqslant }}$ if and only if $W_{\mathrm {c}}$ is a union of two-sided cells of $W$.
References
Similar Articles
  • Retrieve articles in Proceedings of the American Mathematical Society with MSC (2000): 20F55, 05E15
  • Retrieve articles in all journals with MSC (2000): 20F55, 05E15
Additional Information
  • Jian-yi Shi
  • Affiliation: Department of Mathematics, East China Normal University, Shanghai, 200062, People’s Republic of China – and – Center for Combinatorics, Nankai University, Tianjin, 300071, People’s Republic of China
  • MR Author ID: 231063
  • Received by editor(s): March 28, 2004
  • Received by editor(s) in revised form: April 14, 2004, May 1, 2004, and May 5, 2004
  • Published electronically: March 22, 2005
  • Additional Notes: This work was supported by Nankai University, the 973 Project of MST of China, the NSF of China, the SF of the University Doctoral Program of ME of China, the Shanghai Priority Academic Discipline, and the CST of Shanghai
  • Communicated by: John R. Stembridge
  • © Copyright 2005 American Mathematical Society
    The copyright for this article reverts to public domain 28 years after publication.
  • Journal: Proc. Amer. Math. Soc. 133 (2005), 2525-2531
  • MSC (2000): Primary 20F55, 05E15
  • DOI: https://doi.org/10.1090/S0002-9939-05-07834-2
  • MathSciNet review: 2146194