Add to ORKGWe show that the $\mathcal{H}_{n-1}$-conjugacy classes of $\mathcal{H}_n,$ where $\mathcal{H}_n$ is the hyperoctahedral group on $2n$ elements, are indexed by marked bipartitions of $n.$ This will lead us to prove that $(\mathcal{H}_n\times \mathcal{H}_{n-1},diag (\mathcal{H}_{n-1}))$ is a symmetric Gelfand pair and that the induced representation $1_{diag (\mathcal{H}_{n-1})}^{\mathcal{H}_n\times \mathcal{H}_{n-1}}$ is multiplicity free
AbstractIn analogy with the set of Jucys–Murphy elements, a set of ring generators for the Hecke alg...
AbstractLet G = SO0(1,n) or SU(1,n) and K a maximal compact subgroup of G. It is proved that each ir...
In this paper we establish Springer correspondence for the symmetric pair (SL(N); SO(N)) using Fouri...
We show that the $\mathcal{H}_{n-1}$-conjugacy classes of $\mathcal{H}_n,$ where $\mathcal{H}_n$ is ...
We prove that $(\mathbb{Z}_k \wr \mathcal{S}_n \times \mathbb{Z}_k \wr \mathcal{S}_{n-1}, \text{diag...
It is well known that the pair $(\mathcal{S}_n,\mathcal{S}_{n-1})$ is a Gelfand pair where $\mathcal...
AbstractIn this paper, we attempt to prove that the symmetric pairs (Sp4n(F),Sp2n(E)) and (GSp4n(F),...
A topological group G together with a compact subgroup K are said to form a Gelfand pair if the set ...
We first prove, for pairs consisting of a simply connected complex reductive group together with a c...
AbstractWe show that the action of the group G on each level of the rooted binary tree T2 is 2-point...
In this thesis we studied the structure coefficients and especially their dependence on n in the cas...
In questo capitolo studiamo una prima terna priva di molteplicità su GL (2, Fq).In this chapter we ...
AbstractIf G is a totally disconnected group and H is a closed subgroup then, according to the Gelfa...
AbstractThe symmetric group S2n and the hyperoctahedral group Hn is a Gelfand triple for an arbitrar...
Contains fulltext : 240788.pdf (Publisher’s version ) (Open Access
AbstractIn analogy with the set of Jucys–Murphy elements, a set of ring generators for the Hecke alg...
AbstractLet G = SO0(1,n) or SU(1,n) and K a maximal compact subgroup of G. It is proved that each ir...
In this paper we establish Springer correspondence for the symmetric pair (SL(N); SO(N)) using Fouri...
We show that the $\mathcal{H}_{n-1}$-conjugacy classes of $\mathcal{H}_n,$ where $\mathcal{H}_n$ is ...
We prove that $(\mathbb{Z}_k \wr \mathcal{S}_n \times \mathbb{Z}_k \wr \mathcal{S}_{n-1}, \text{diag...
It is well known that the pair $(\mathcal{S}_n,\mathcal{S}_{n-1})$ is a Gelfand pair where $\mathcal...
AbstractIn this paper, we attempt to prove that the symmetric pairs (Sp4n(F),Sp2n(E)) and (GSp4n(F),...
A topological group G together with a compact subgroup K are said to form a Gelfand pair if the set ...
We first prove, for pairs consisting of a simply connected complex reductive group together with a c...
AbstractWe show that the action of the group G on each level of the rooted binary tree T2 is 2-point...
In this thesis we studied the structure coefficients and especially their dependence on n in the cas...
In questo capitolo studiamo una prima terna priva di molteplicità su GL (2, Fq).In this chapter we ...
AbstractIf G is a totally disconnected group and H is a closed subgroup then, according to the Gelfa...
AbstractThe symmetric group S2n and the hyperoctahedral group Hn is a Gelfand triple for an arbitrar...
Contains fulltext : 240788.pdf (Publisher’s version ) (Open Access
AbstractIn analogy with the set of Jucys–Murphy elements, a set of ring generators for the Hecke alg...
AbstractLet G = SO0(1,n) or SU(1,n) and K a maximal compact subgroup of G. It is proved that each ir...
In this paper we establish Springer correspondence for the symmetric pair (SL(N); SO(N)) using Fouri...