Tensor products of graded-simple $\mathfrak{sl}_2(\mathbb{C})$-modules
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Publication:5103877
DOI10.55730/1300-0098.3222OpenAlexW4285224272MaRDI QIDQ5103877
Abdallah Shihadeh, Yu. A. Bakhturin
Publication date: 9 September 2022
Published in: Turkish Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.55730/1300-0098.3222
Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Universal enveloping (super)algebras (17B35) Graded Lie (super)algebras (17B70) Simple, semisimple, reductive (super)algebras (17B20)
Cites Work
- Construction of simple non-weight \(\mathfrak{sl}(2)\)-modules of arbitrary rank
- Classification of simple sl(2)-modules and finite-dimensionality of the module of extensions of simple sl(2)-modules
- The irreducible representations of the Lie algebra sl(2) and of the Weyl algebra
- On the tensor product of a finite and an infinite dimensional representation
- Graded modules over classical simple Lie algebras with a grading
- Simple \(\mathfrak{sl}_{n + 1}\)-module structures on \(\mathcal{U}(\mathfrak{h})\)
- Graded modules over simple Lie algebras
- Casimir Elements for Some Graded Lie Algebras and Superalgebras
- Introduction to Lie Algebras and Representation Theory
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