Gelfand Pairs

2013 ◽  
pp. 461-469
Author(s):  
Daniel Bump
Keyword(s):  
Gelfand Pairs

Spherical functions for Gelfand pairs associated with compact groupoids

2015 ◽  
Vol 27 (3-4) ◽  
pp. 573-582
Author(s):  
Ibrahima Toure ◽  
Kinvi Kangni
Keyword(s):  
Spherical Functions ◽  
Gelfand Pairs

scholarly journals Trees, wreath products and finite Gelfand pairs

2006 ◽  
Vol 206 (2) ◽  
pp. 503-537 ◽  
Author(s):  
Tullio Ceccherini-Silberstein ◽  
Fabio Scarabotti ◽  
Filippo Tolli
Keyword(s):  
Wreath Products ◽  
Gelfand Pairs

scholarly journals Gelfand pairs on the Heisenberg group and Schwartz functions

2009 ◽  
Vol 256 (5) ◽  
pp. 1565-1587 ◽  
Author(s):  
Francesca Astengo ◽  
Bianca Di Blasio ◽  
Fulvio Ricci
Keyword(s):  
Heisenberg Group ◽  
Gelfand Pairs ◽  
Schwartz Functions

Strong Gelfand pairs of symmetric groups

2020 ◽  
pp. 2150054
Author(s):  
Gradin Anderson ◽  
Stephen P. Humphries ◽  
Nathan Nicholson
Keyword(s):  
Commutative Ring ◽  
Finite Groups ◽  
Symmetric Groups ◽  
Maximal Dimension ◽  
Gelfand Pair ◽  
Gelfand Pairs ◽  
Schur Ring

A strong Gelfand pair is a pair [Formula: see text], of finite groups such that the Schur ring determined by the [Formula: see text]-classes [Formula: see text], is a commutative ring. We find all strong Gelfand pairs [Formula: see text]. We also define an extra strong Gelfand pair [Formula: see text], this being a strong Gelfand pair of maximal dimension, and show that in this case [Formula: see text] must be abelian.

scholarly journals Matrix valued orthogonal polynomials for Gelfand pairs of rank one

2016 ◽  
Vol 68 (3) ◽  
pp. 407-437 ◽  
Author(s):  
Gert Heckman ◽  
Maarten van Pruijssen
Keyword(s):  
Orthogonal Polynomials ◽  
Gelfand Pairs ◽  
Rank One
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