Generators of the Hecke algebra of (S-2n, B-n)

Date

2012-12-01

Author

Aker, Kursat
Can, Mahir Bilen

Metadata

Show full item record

This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Item Usage Stats

11
views

0
downloads

In analogy with the set of Jucys-Murphy elements, a set of ring generators for the Hecke algebra of the Gel' fand pair (S-2n, B-n), where B-n is the hyperoctahedral subgroup of the symmetric group S-2n is constructed. Various consequences are presented, a conjecture of S. Matsumoto is proven. (c) 2012 Elsevier Inc. All rights reserved.

Subject Keywords

Hecke algebra, Farahat Higman ring, Jucys-Murphy elements, Symmetric pair (S-2n, B-n), Cohomology of Hilbert scheme of points

URI

https://hdl.handle.net/11511/64530

Journal

ADVANCES IN MATHEMATICS

DOI

https://doi.org/10.1016/j.aim.2012.07.023

Collections

Department of Mathematics, Article

Suggestions

OpenMETU
Core

Action of a Frobenius-like group with kernel having central derived subgroup Ercan, Gülin (2016-09-01) A finite group FH is said to be Frobenius-like if it has a nontrivial nilpotent normal subgroup F with a nontrivial complement H such that [F, h] = F for all nonidentity elements h is an element of H. Suppose that a finite group G admits a Frobenius-like group of auto-morphisms FH of coprime order with [F', H] = 1. In case where C-G( F) = 1 we prove that the groups G and C-G( H) have the same nilpotent length under certain additional assumptions.
Characterizations of Riesz spaces with b-property Alpay, Safak; ERCAN, ZAFER (Springer Science and Business Media LLC, 2009-02-01) A Riesz space E is said to have b-property if each subset which is order bounded in E(similar to similar to) is order bounded in E. The relationship between b-property and completeness, being a retract and the absolute weak topology vertical bar sigma vertical bar (E(similar to), E) is studied. Perfect Riesz spaces are characterized in terms of b-property. It is shown that b-property coincides with the Levi property in Dedekind complete Frechet lattices.
REPRESENTATIONS OF POSETS AND INDECOMPOSABLE TORSION-FREE ABELIAN GROUPS Arnold, David; Mader, Adolf; Mutzbauer, Otto; Solak, Ebru (2014-03-04) Representations of posets in certain modules are used to find indecomposable almost completely decomposable torsion-free abelian groups. For a special class of almost completely decomposable groups we determine the possible ranks of indecomposable groups and show that the possible ranks are realized by indecomposable groups in the class.
Orders of elements of equivariant J-groups of complex projective spaces Onder, T (Elsevier BV, 2002-06-17) A computable formula for the equivariant J-orders of the elements of JO(G)(CPn) is given for all finite groups G which do not have quaternionic type irreducible representations.
Rank and Order of a Finite Group Admitting a Frobenius-Like Group of Automorphisms Ercan, Gülin; Khukhro, E. I. (2014-07-01) A finite group FH is said to be Frobenius-like if it has a nontrivial nilpotent normal subgroup F with a nontrivial complement H such that FH/[F,F] is a Frobenius group with Frobenius kernel F/[F,F]. Suppose that a finite group G admits a Frobenius-like group of automorphisms FH of coprime order with certain additional restrictions (which are satisfied, in particular, if either |FH| is odd or |H| = 2). In the case where G is a finite p-group such that G = [G, F] it is proved that the rank of G is bounded ab...

Citation Formats

K. Aker and M. B. Can, “Generators of the Hecke algebra of (S-2n, B-n),” ADVANCES IN MATHEMATICS, pp. 2465–2483, 2012, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/64530.