A double coset formula for levi subgroups and splitting BGL n

1989 ◽  
pp. 325-334 ◽  
Author(s):  
Stephen A. Mitchell ◽  
Stewart B. Priddy
Keyword(s):  
Double Coset

Double coset algebras

2014 ◽  
Vol 218 (11) ◽  
pp. 2081-2095 ◽  
Author(s):  
Robert May
Keyword(s):  
Double Coset

scholarly journals A double coset ansatz for integrability in AdS/CFT

2012 ◽  
Vol 2012 (6) ◽  
Author(s):  
Robert de Mello Koch ◽  
Sanjaye Ramgoolam
Keyword(s):  
Double Coset

scholarly journals On some double coset decompositions of complex semi-simple Lie groups

1966 ◽  
Vol 18 (1) ◽  
pp. 1-44 ◽  
Author(s):  
Kazuhiko AOMOTO
Keyword(s):  
Lie Groups ◽  
Double Coset ◽  
Simple Lie Groups

scholarly journals On Iwahori-Hecke algebras for p-adic loop groups: double coset basis and Bruhat order

2018 ◽  
Vol 140 (1) ◽  
pp. 221-244
Author(s):  
Dinakar Muthiah
Keyword(s):  
Hecke Algebras ◽  
Double Coset ◽  
Bruhat Order ◽  
Loop Groups

scholarly journals CONTINUOUS ASSOCIATION SCHEMES AND HYPERGROUPS

2018 ◽  
Vol 106 (03) ◽  
pp. 361-426
Author(s):  
MICHAEL VOIT
Keyword(s):  
Double Coset ◽  
Association Schemes ◽  
Stochastic Matrices ◽  
Locally Compact ◽  
Finite Dimensional ◽  
Infinite Case ◽  
Compact Case ◽  
Commutative Hypergroup ◽  
Double Coset Hypergroup ◽  
Discrete Hypergroups

Classical finite association schemes lead to finite-dimensional algebras which are generated by finitely many stochastic matrices. Moreover, there exist associated finite hypergroups. The notion of classical discrete association schemes can be easily extended to the possibly infinite case. Moreover, this notion can be relaxed slightly by using suitably deformed families of stochastic matrices by skipping the integrality conditions. This leads to a larger class of examples which are again associated with discrete hypergroups. In this paper we propose a topological generalization of association schemes by using a locally compact basis space $X$ and a family of Markov-kernels on $X$ indexed by some locally compact space $D$ where the supports of the associated probability measures satisfy some partition property. These objects, called continuous association schemes, will be related to hypergroup structures on $D$ . We study some basic results for this notion and present several classes of examples. It turns out that, for a given commutative hypergroup, the existence of a related continuous association scheme implies that the hypergroup has many features of a double coset hypergroup. We, in particular, show that commutative hypergroups, which are associated with commutative continuous association schemes, carry dual positive product formulas for the characters. On the other hand, we prove some rigidity results in particular in the compact case which say that for given spaces $X,D$ there are only a few continuous association schemes.

scholarly journals Double-coset enumeration algorithm for symmetrically generated groups

2005 ◽  
Vol 2005 (5) ◽  
pp. 699-715 ◽  
Author(s):  
Mohamed Sayed
Keyword(s):  
Double Coset ◽  
Computer Implementation ◽  
Enumeration Algorithm ◽  
Coset Enumeration

A double-coset enumeration algorithm for groups generated by symmetric sets of involutions together with its computer implementation is described.

Finiteness of Double Coset Spaces

1999 ◽  
Vol 79 (3) ◽  
pp. 605-625 ◽  
Author(s):  
R. Lawther
Keyword(s):  
Double Coset ◽  
Coset Spaces

Functional equations on double coset hypergroups

2017 ◽  
Vol 8 (3) ◽  
pp. 411-423 ◽  
Author(s):  
Żywilla Fechner ◽  
László Székelyhidi
Keyword(s):  
Functional Equations ◽  
Double Coset
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