ON INVOLUTIONS OF THE SYMMETRIC GROUP AND CONGRUENCE B-ORBITS OF ANTI-SYMMETRIC MATRICES-Reference-Cited by-同舟云学术

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ON INVOLUTIONS OF THE SYMMETRIC GROUP AND CONGRUENCE B-ORBITS OF ANTI-SYMMETRIC MATRICES

Published:2011-08 Issue:05 Volume:21 Page:841-856
ISSN:0218-1967
Container-title:International Journal of Algebra and Computation
language:en
Short-container-title:Int. J. Algebra Comput.

Author:

CHERNIAVSKY YONAH¹

Affiliation:

1. Department of Mathematics and Computer Science, Ariel University Center of Samaria, Israel

Abstract

We present the poset of Borel congruence classes of anti-symmetric matrices ordered by containment of closures. We show that there exists a bijection between the set of these classes and the set of involutions of the symmetric group. We give two formulas for the rank function of this poset.

Publisher

World Scientific Pub Co Pte Lt

Subject

General Mathematics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218196711006546

Reference10 articles.

1. The combinatorics of twisted involutions in Coxeter groups

2. The Bruhat Order on the Involutions of the Symmetric Group

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