Simple \(\mathfrak{sl}_{n + 1}\)-module structures on \(\mathcal{U}(\mathfrak{h})\)
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Publication:2512718
DOI10.1016/j.jalgebra.2014.09.036zbMath1352.17009arXiv1312.5499OpenAlexW1973851554MaRDI QIDQ2512718
Publication date: 30 January 2015
Published in: Journal of Algebra (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1312.5499
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
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Blocks and modules for Whittaker pairs
- Torsion theories induced from commutative subalgebras.
- Lectures on algebraic categorification
- The irreducible representations of the Lie algebra sl(2) and of the Weyl algebra
- Primitive ideals in enveloping algebras
- On Whittaker vectors and representation theory
- Irreducible modules over Witt algebras \(\mathcal {W}_{n}\) and over \(\mathfrak {sl}_{n+1}(\mathbb {C})\)
- Categorification of the Temperley-Lieb category, tangles, and cobordisms via projective functors
- A generalization of Verma modules, and irreducible representations of the Lie algebra sl(3)
- Classification of irreducible weight modules
- Simple Virasoro modules which are locally finite over a positive part
- A class of simple weight Virasoro modules
- Simple Virasoro modules induced from codimension one subalgebras of the positive part
- Lie Algebra Modules with Finite Dimensional Weight Spaces, I
- Irreducible Representations of A n with a 1-Dimensional Weight Space
- On algebraically irreducible representations of the Lie algebra sl(2)
- Simple A2-modules with a finite dimensional weight space
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