The image of the Lepowsky homomorphism for the split rank one symplectic group
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Publication:949585
DOI10.1016/j.jalgebra.2008.04.003zbMath1204.22009OpenAlexW2072105142MaRDI QIDQ949585
Publication date: 21 October 2008
Published in: Journal of Algebra (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jalgebra.2008.04.003
Universal enveloping (super)algebras (17B35) Semisimple Lie groups and their representations (22E46)
Cites Work
- A transversality property of a derivation of the universal enveloping algebra \(U(k)\), for \(SO(n,1)\) and \(SU(n,1)\)
- On the centralizer of \(K\) in the universal enveloping algebra of \(\text{SO}(n,1)\) and \(\text{SU}(n,1)\)
- \(M\)-spherical \(K\)-modules of a rank one semisimple Lie group
- A Harish-Chandra homomorphism for reductive group actions
- A Restriction Theorem for Semisimple Lie Groups of Rank One
- Invariant operators on higher K-types.
- LU-decomposition of a noncommutative linear system and Jacobi polynomials
- The centralizer of a Lie algebra in an enveloping algebra.
- A Restriction Theorem for Modules Having a Spherical Submodule
- Composition Series and Intertwining Operators for the Spherical Principal Series. I
- On the Structure of Certain Subalgebras of a Universal Enveloping Algebra
- On the Left Ideal in the Universal Enveloping Algebra of a Lie Group Generated by a Complex Lie Subalgebra
- Orbits and Representations Associated with Symmetric Spaces
- On the existence and irreducibility of certain series of representations
- Algebraic Results on Representations of Semisimple Lie Groups
- On the Determination of Irreducible Modules by Restriction to a Subalgebra
- A Theory of Spherical Functions. I
- Invariants of Finite Groups Generated by Reflections
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