Quantum supergroups II. Canonical basis
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Publication:2922916
DOI10.1090/S1088-4165-2014-00453-9zbMath1359.17024arXiv1304.7837OpenAlexW2963062333MaRDI QIDQ2922916
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Publication date: 15 October 2014
Published in: Representation Theory of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1304.7837
Quantum groups (quantized enveloping algebras) and related deformations (17B37) Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67)
Related Items (11)
Quantum supergroups. V: Braid group action ⋮ Odd knot invariants from quantum covering groups ⋮ DG structures on odd categorified quantum \(sl(2)\) ⋮ Canonical bases for the quantum supergroups \(\mathbf U(\mathfrak{gl}_{m|n})\) ⋮ Quantum supergroups. I: Foundations ⋮ Quantum supergroups. III: Twistors ⋮ Quantum supergroups. IV: The modified form ⋮ Character formulae for queer Lie superalgebras and canonical bases of types \(A/C\) ⋮ Quantum supergroups. VI: Roots of 1 ⋮ Categorification of quantum Kac-Moody superalgebras ⋮ An odd categorification of \(U_q(\mathfrak{sl}_2)\)
Cites Work
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- Quiver Hecke superalgebras
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- Two-Parameter Quantum Algebras, Canonical Bases, and Categorifications
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- Quantized enveloping algebras for Borcherds superalgebras
- Crystal bases for the quantum superalgebra $U_q(\mathfrak {gl}(m,n))$
- Categorification of quantum Kac-Moody superalgebras
- Introduction to quantum groups
- Crystal bases for Kac-Moody superalgebras
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