A Restriction Theorem for Modules Having a Spherical Submodule
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Publication:4018461
DOI10.2307/2154136zbMath0760.14006OpenAlexW4243463710MaRDI QIDQ4018461
Juan Alfredo Tirao, Nicolás Andruskiewitsch
Publication date: 16 January 1993
Full work available at URL: https://doi.org/10.2307/2154136
Homogeneous spaces and generalizations (14M17) Representation theory for linear algebraic groups (20G05) Geometric invariant theory (14L24) Group actions on varieties or schemes (quotients) (14L30)
Related Items (4)
On the centralizer of \(K\) in the universal enveloping algebra of \(\text{SO}(n,1)\) and \(\text{SU}(n,1)\) ⋮ On deformation method in invariant theory ⋮ A transversality property of a derivation of the universal enveloping algebra \(U(k)\), for \(SO(n,1)\) and \(SU(n,1)\) ⋮ The image of the Lepowsky homomorphism for the split rank one symplectic group
Cites Work
- Invariants and the ring of generic matrices
- Espaces homogènes sphériques. (Spherical homogeneous spaces)
- Some remarks on nilpotent orbits
- Homogeneous domains on flag manifolds and spherical subgroups of semisimple Lie groups
- A generalization of the Chevalley restriction theorem
- The classification of representations which are exceptional in the sense of Igusa
- Representations of simple Lie groups with regular rings of invariants
- Canonical form and stationary subalgebras of points of general position for simple linear Lie groups
- A Restriction Theorem for Semisimple Lie Groups of Rank One
- Générateurs de l'algèbre ${\cal U}(G)^K$ avec $G=SO(m)$ ou $SO_0(1,m-1)$ et $K=SO(m-1)$
- The centralizer of a Lie algebra in an enveloping algebra.
- Lie Group Representations on Polynomial Rings
- Prehomogeneous Vector Spaces and Varieties
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