Skip to Main Content

Transactions of the American Mathematical Society

Published by the American Mathematical Society since 1900, Transactions of the American Mathematical Society is devoted to longer research articles in all areas of pure and applied mathematics.

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

The 2020 MCQ for Transactions of the American Mathematical Society is 1.48.

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.


Special matchings and parabolic Kazhdan–Lusztig polynomials
HTML articles powered by AMS MathViewer

by Mario Marietti PDF
Trans. Amer. Math. Soc. 368 (2016), 5247-5269 Request permission


We prove that the combinatorial concept of a special matching can be used to compute the parabolic Kazhdan–Lusztig polynomials of doubly laced Coxeter groups and of dihedral Coxeter groups. In particular, for this class of groups which includes all Weyl groups, our results generalize to the parabolic setting the main results in Advances in Math. 202 (2006), 555-601. As a consequence, the parabolic Kazhdan–Lusztig polynomial indexed by $u$ and $v$ depends only on the poset structure of the Bruhat interval from the identity element to $v$ and on which elements of that interval are minimal coset representatives.
Similar Articles
  • Retrieve articles in Transactions of the American Mathematical Society with MSC (2010): 05E99, 20F55
  • Retrieve articles in all journals with MSC (2010): 05E99, 20F55
Additional Information
  • Mario Marietti
  • Affiliation: Dipartimento di Ingegneria Industriale e Scienze Matematiche, Università Politecnica delle Marche, Via Brecce Bianche, 60131 Ancona, Italy
  • MR Author ID: 689090
  • Email:
  • Received by editor(s): May 8, 2014
  • Received by editor(s) in revised form: July 20, 2014, September 14, 2014, and November 23, 2014
  • Published electronically: June 18, 2015
  • © Copyright 2015 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 368 (2016), 5247-5269
  • MSC (2010): Primary 05E99, 20F55
  • DOI:
  • MathSciNet review: 3456179