H-POLYNOMIALS AND ROOK POLYNOMIALS-Reference-Cited by-同舟云学术

H-POLYNOMIALS AND ROOK POLYNOMIALS

Published:2008-08 Issue:05 Volume:18 Page:935-949
ISSN:0218-1967
Container-title:International Journal of Algebra and Computation
language:en
Short-container-title:Int. J. Algebra Comput.

Author:

CAN MAHIR BILEN¹,RENNER LEX E.²

Affiliation:

1. Department of Mathematics, Tulane University, 6823 St. Charles Avenue, New Orleans, LA 70118, USA

2. Department of Mathematics, Middlesex College, University of Western Ontario, London, Ontario N6A 5B7, Canada

Abstract

The purpose of this paper is twofold. First we describe a useful procedure for computing the H-polynomials of reductive monoids. Second we use this procedure to compute the H-polynomial of the monoid of n × n matrices in terms of the q-analogues of the rook polynomials of Garsia and Remmel.

Publisher

World Scientific Pub Co Pte Lt

Subject

General Mathematics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218196708004688

Reference16 articles.

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