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pro vyhledávání: '"Rubenthaler, Hubert"'
Autor:
Harinck, Pascale, Rubenthaler, Hubert
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 realized as open orbits of some prehomogeneous spaces. These symmetric space
Externí odkaz:
http://arxiv.org/abs/2407.06667
Autor:
Harinck, Pascale, Rubenthaler, Hubert
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 as open orbits of the parabolic prehomogeneous spaces of commutative ty
Externí odkaz:
http://arxiv.org/abs/2003.05764
Autor:
Rubenthaler, Hubert
Publikováno v:
Journal of Algebra, Elsevier, 2017
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 $B\_{0}$) and let $(\rho,V)$ be a finite dimensional representation of ${\go g}\_{0}$. We define on $ \Ga
Externí odkaz:
http://arxiv.org/abs/1410.0031
Autor:
Rubenthaler, Hubert
Publikováno v:
Journal of Lie Theory 23, 2 (2013) 433-458
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 on such spaces which are invariant under the semi-simple part of the
Externí odkaz:
http://arxiv.org/abs/1205.0628
Autor:
Rubenthaler, Hubert
Publikováno v:
Pacific J. Math. 270 (2014) 473-510
If $(G,V)$ is a multiplity free space with a one dimensional quotient we give generators and relations for the non-commutative algebra $D(V)^{G'}$ of invariant differential operators under the semi-simple part $G'$ of the reductive group $G$. More pr
Externí odkaz:
http://arxiv.org/abs/1103.1721
Autor:
Rubenthaler, Hubert
Publikováno v:
Annales de l'Institut Fourier 61, 5 (2011) 2183-2218
Let (G,V) be a regular prehomogeneous vector space (abbreviated to PV), where G is a connected reductive algebraic group over C. If $V= \oplus_{i=0}^{n}V_{i}$ is a decomposition of V into irreducible representations, then, in general, the PV's $(G,V_
Externí odkaz:
http://arxiv.org/abs/1003.5074
Autor:
Rubenthaler, Hubert
Publikováno v:
Comptes Rendus de l Acad\'emie des Sciences - Series I - Mathematics (2009) 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 definition below). We prove that the algebra D(V)^{G'} of G'-invariant diffe
Externí odkaz:
http://arxiv.org/abs/0910.5664
Autor:
Rubenthaler, Hubert
If $Q$ is a non degenerate quadratic form on ${\bb C}^n$, it is well known that the differential operators $X=Q(x)$, $Y=Q(\partial)$, and $H=E+\frac{n}{2}$, where $E$ is the Euler operator, generate a Lie algebra isomorphic to ${\go sl}_{2}$. Therefo
Externí odkaz:
http://arxiv.org/abs/0802.0440
Autor:
Rubenthaler, Hubért
Publikováno v:
Transactions of the American Mathematical Society, 2008 Jan 01. 360(1), 347-367.
Externí odkaz:
http://dx.doi.org/10.1090/S0002-9947-07-04269-9
