On modules of bounded multiplicities for the symplectic algebras
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Publication:4243651
DOI10.1090/S0002-9947-99-02338-7zbMath0930.17005OpenAlexW1931145688MaRDI QIDQ4243651
Publication date: 19 May 1999
Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1090/s0002-9947-99-02338-7
representationssymplectic algebrascompletely pointedsimple torsion-free modulessimply infinite-dimensional highest-weight modulesweight spaces of bounded multiplicity
Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Simple, semisimple, reductive (super)algebras (17B20)
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Cites Work
- Unnamed Item
- Moduln mit einem höchsten Gewicht
- On the tensor product of a finite and an infinite dimensional representation
- Modules with bounded weight multiplicities for simple Lie algebras
- Classification of irreducible weight modules
- Simple Cn modules with multiplicities 1 and applications
- Lie Algebra Modules with Finite Dimensional Weight Spaces, I
- A Classification of Simple Lie Modules Having a 1-Dimensional Weight Space
- The Torsion Free Pieri Formula
- Simple A2-modules with a finite dimensional weight space
- Note on Weight Spaces of Irreducible Linear Representations
- Weight Spaces and Irreducible Representations of Simple Lie Algebras