H-POLYNOMIALS AND ROOK POLYNOMIALS

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

Cited by 4 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Asymptotic semigroups and two-sided weak orders;Journal of Algebra;2022-11

2. Stirling posets;Israel Journal of Mathematics;2020-05-14

3. Remarks on enveloping semigroups;Communications in Algebra;2020-01-13

4. Ordered Bell numbers, Hermite polynomials, skew Young tableaux, and Borel orbits;Journal of Combinatorial Theory, Series A;2012-11

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