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

Aker, Kursat
Can, Mahir Bilen
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.


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 ...
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.
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...
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: