Representations of affine Lie superalgebras and their quantization in type \(A\)
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Publication:2079235
DOI10.1016/j.jalgebra.2022.08.012OpenAlexW4292381388WikidataQ115350266 ScholiaQ115350266MaRDI QIDQ2079235
Luan Bezerra, Iryna Kashuba, Lucas Calixto, Vyacheslav M. Futorny
Publication date: 29 September 2022
Published in: Journal of Algebra (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2202.04401
Cites Work
- An imaginary PBW basis for quantum affine algebras of type 1
- Induced modules for affine Lie algebras
- Quantum deformations of certain simple modules over enveloping algebras
- Structure of parabolically induced modules for affine Kac-Moody algebras
- Verma-type modules for quantum affine Lie algebras
- On defining relations of affine Lie superalgebras and affine quantized universal enveloping superalgebras
- Highest weight modules for affine Lie superalgebras
- PBWD bases and shuffle algebra realizations for \(U_v(L\mathfrak{sl}_n)\), \(U_{v_1,v_2} (L\mathfrak{sl}_n)\), \(U_v (L\mathfrak{sl}(m|n))\) and their integral forms
- Irreducible completely pointed modules of quantum groups of type \(A\)
- New irreducible modules for Heisenberg and affine Lie algebras
- Geometric realizations of affine Kac-Moody algebras
- Generalized imaginary Verma and Wakimoto modules
- Integrable modules for affine Lie superalgebras
- Weight modules over infinite dimensional Weyl algebras
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