Double Koszul complex and construction of irreducible representations of $\mathfrak {gl}(3|1)$
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Publication:3056524
DOI10.1090/S0002-9939-2010-10400-8zbMath1223.17013arXiv1002.0945MaRDI QIDQ3056524
Publication date: 12 November 2010
Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1002.0945
Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Representation theory for linear algebraic groups (20G05) Graded Lie (super)algebras (17B70) Quantum groups (quantized function algebras) and their representations (20G42)
Related Items (2)
Jacobi–Trudi type formula for a class of irreducible representations of 𝔤𝔩(m|n) ⋮ Jacobi-Trudi type formula for character of irreducible representations of \(\mathfrak{gl}(m|1)\)
Cites Work
- Character and dimension formulae for general linear superalgebra
- Irreducible representations of quantum linear groups of type \(A_{1|0}\).
- Hook Young diagrams with applications to combinatorics and to representations of Lie superalgebras
- The general linear supergroup and its Hopf superalgebra of regular functions.
- Characters of typical representations of classical lie superalgebras
- Kazhdan-Lusztig polynomials and character formulae for the Lie superalgebra 𝔤𝔩(𝔪|𝔫)
- Lie superalgebras
- Splitting comodules over Hopf algebras and application to representation theory of quantum groups of type \(A_{0|0}\)
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