2 citations · 3 across the 7 of their papers we have counts for
7 papers
Local zeta functions for a class of p-adic symmetric spaces (II)
Pascale Harinck, Hubert Rubenthaler
In this paper we study the zeta functions associated to the minimal spherical principal series of representations for a class of reductive p-adic symmetric spaces, which are realiz…
Local Zeta Functions for a class of p-adic symmetric spaces
Pascale Harinck, Hubert Rubenthaler
This is an extended version of the first part of a forthcoming paper where we will study the local Zeta functions of the minimal spherical series for the symmetric spaces arising a…
Minimal graded Lie algebras and representations of quadratic algebras
Hubert Rubenthaler
Let $({\go g}\_{0},B\_{0})$ be a quadratic Lie algebra (i.e. a Lie algebra $\go{g}\_{0}$ with a non degenerate symmetric invariant bilinear form ) and let be a fini…
Multiplicity free spaces with a one dimensional quotient
Hubert Rubenthaler
The multiplicity free spaces with a one dimensional quotient were introduced by Thierry Levasseur in [11]. Recently, the author has shown that the algebra of differential operators…
Decomposition of reductive regular prehomogeneous vector spaces
Hubert Rubenthaler
Let (G,V) be a regular prehomogeneous vector space (abbreviated to PV), where G is a connected reductive algebraic group over C. If is a decomposition of…
Algebras of invariant differential operators on a class of multiplicity free spaces
Hubert Rubenthaler
Let G be a connected reductive algebraic group and let G'=[G,G] be its derived subgroup. Let (G,V) be a multiplicity free representation with a one dimensional quotient (see defini…