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

56
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

Minimal non-FC-groups and coprime automorphisms of quasi-simple groups Ersoy, Kıvanç; Kuzucuoğlu, Mahmut; Department of Mathematics (2004) A group G is called an FC-group if the conjugacy class of every element is finite. G is called a minimal non-FC-group if G is not an FC-group, but every proper subgroup of G is an FC-group. The first part of this thesis is on minimal non-FC-groups and their finitary permutational representations. Belyaev proved in 1998 that, every perfect locally finite minimal non-FC-group has non-trivial finitary permutational representation. In Chapter 3, we write the proof of Belyaev in detail. Recall that a group G is ...
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.
Regularities in noncommutative Banach algebras Dosiev, Anar (Springer Science and Business Media LLC, 2008-07-01) In this paper we introduce regularities and subspectra in a unital noncommutative Banach algebra and prove that there is a correspondence between them similar to the commutative case. This correspondence involves a radical on a class of Banach algebras equipped with a subspectrum. Taylor and Slodkowski spectra for noncommutative tuples of bounded linear operators are the main examples of subspectra in the noncommutative case.
Action of a Frobenius-like group with fixed-point free kernel Ercan, Gülin (Walter de Gruyter GmbH, 2014-09-01) We call a finite group Frobenius-like if it has a nontrivial nilpotent normal subgroup F possessing a nontrivial complement H such that [F,h] = F for all nonidentity elements h is an element of H. We prove that any irreducible nontrivial FH-module for a Frobenius-like group FH of odd order over an algebraically-closed field has an H-regular direct summand if either F is fixed-point free on V or F acts nontrivially on V and the characteristic of the field is coprime to the order of F. Some consequences of th...
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.

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.