A family of representations of the Lie superalgebra \(\widehat{\mathfrak{gl}_{1|l-1}}(\mathbb C_q)\)

DOI10.1016/j.jalgebra.2013.03.025zbMath1317.17012OpenAlexW4206499892WikidataQ115351024 ScholiaQ115351024MaRDI QIDQ2437609

Hongjia Chen, Yun Gao, Sandeep Bhargava

Publication date: 4 March 2014

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2013.03.025

zbMATH Keywords

representationLie superalgebraroot graded Lie superalgebra

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Graded Lie (super)algebras (17B70)

Related Items (4)

Irreducible Wakimoto-like modules for the Lie superalgebra \(D(2, 1;\alpha)\) ⋮ A family of representations of the affine Lie superalgebra \(\widehat{\mathfrak{gl}}_{m | n}(\mathbb{C})\) ⋮ A family of representations of the Lie superalgebra \(\widehat{\mathfrak{gl}_{m | n}}(\mathbb{C}_q)\) ⋮ Vertex representations of toroidal special linear Lie superalgebras

Cites Work

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• A class of irreducible modules for the extended affine Lie algebra \(\widetilde{\mathfrak{gl}}_l(\mathbb{C}_q)\)
• Affine Kac-Moody algebras and semi-infinite flag manifolds
• Hermitian representations of the extended affine Lie algebra \(\widehat {\mathfrak {gl}_2(\mathbb {C}_q)}\)
• \(B(0,N)\)-graded Lie superalgebras coordinatized by quantum tori
• Unitary representations of the extended affine Lie algebra \(\widetilde{\mathfrak{gl}_3(\mathbb C_q})\).
• Fock representations of the affine Lie algebra \(A_ 1^{(1)}\)
• Quantum tori and the structure of elliptic quasi-simple Lie algebras
• Lie superalgebras

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