Quantum supergroups. V: Braid group action

DOI10.1007/s00220-016-2630-yzbMath1364.17016arXiv1409.0448OpenAlexW2963588909MaRDI QIDQ293037

F. Blanchet-Sadri, M. Dambrine

Publication date: 9 June 2016

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1409.0448

zbMATH Keywords

quantum algebrabraid groupPBW basissupergroup

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37)

Related Items (2)

Odd knot invariants from quantum covering groups ⋮ Quantum supergroups. VI: Roots of 1

Cites Work

• Quantum shuffles and quantum supergroups of basic type
• Quantum supergroups. III: Twistors
• Quantum supergroups. IV: The modified form
• Quantum groups at roots of 1
• Quantum deformations of certain simple modules over enveloping algebras
• PBW basis of quantized universal enveloping algebras
• Convex bases of PBW type for quantum affine algebras
• Canonical basis for quantum \(\mathfrak{osp}(1|2)\)
• Derived equivalences for symmetric groups and \(\mathfrak{sl}_2\)-categorification.
• Quantum supergroups. I: Foundations
• Quantum supergroups II. Canonical basis
• Quantized enveloping algebras for Borcherds superalgebras
• Derived equivalences for cotangent bundles of Grassmannians via categorical 𝔰𝔩2 actions
• Braiding via geometric Lie algebra actions
• Categorification of quantum Kac-Moody superalgebras
• Introduction to quantum groups

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