Skip to Main Content

Representation Theory

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

ISSN 1088-4165

The 2020 MCQ for Representation Theory is 0.7.

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.

 

Construction of arbitrary Kazhdan-Lusztig polynomials in symmetric groups
HTML articles powered by AMS MathViewer

by Patrick Polo PDF
Represent. Theory 3 (1999), 90-104 Request permission

Abstract:

To each polynomial $P$ with integral nonnegative coefficients and constant term equal to $1$, of degree $d$, we associate a certain pair of elements $(y,w)$ in the symmetric group $S_n$, where $n = 1 + d + P(1)$, such that the Kazhdan-Lusztig polynomial $P_{y,w}$ equals $P$. This pair satisfies $\ell (w) - \ell (y) = 2d + P(1) - 1$, where $\ell (w)$ denotes the number of inversions of $w$.
References
Similar Articles
  • Retrieve articles in Representation Theory of the American Mathematical Society with MSC (1991): 14M15, 20F55, 20G15
  • Retrieve articles in all journals with MSC (1991): 14M15, 20F55, 20G15
Additional Information
  • Patrick Polo
  • Affiliation: CNRS, UMR 7539, Institut Galilée, Département de mathématiques, Université Paris-Nord, 93430 Villetaneuse, France
  • Email: polo@math.univ-paris13.fr
  • Received by editor(s): December 11, 1998
  • Received by editor(s) in revised form: April 30, 1999
  • Published electronically: June 22, 1999
  • © Copyright 1999 American Mathematical Society
  • Journal: Represent. Theory 3 (1999), 90-104
  • MSC (1991): Primary 14M15; Secondary 20F55, 20G15
  • DOI: https://doi.org/10.1090/S1088-4165-99-00074-6
  • MathSciNet review: 1698201