Two-Parameter Quantum Algebras, Canonical Bases, and Categorifications

DOI10.1093/IMRN/RNU159zbMath1350.17012arXiv1303.2429OpenAlexW2962757952MaRDI QIDQ2947832

Yiqiang Li, Zhaobing Fan

Publication date: 29 September 2015

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1303.2429

zbMATH Keywords

canonical basescategorificationstwo-parameter quantum algebras

Mathematics Subject Classification ID

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

Related Items (9)

Quantum supergroups II. Canonical basis ⋮ R-matrix realization of two-parameter quantum affine algebra \(U_{r, s} (\hat{\mathfrak{gl}}_n)\) ⋮ A geometric setting for quantum 𝔬𝔰𝔭(1|2) ⋮ Quantum supergroups. III: Twistors ⋮ Derivations of the positive part of the two-parameter quantum group of type \(G_2\) ⋮ Weak solutions to the Ginzburg-Landau model in superconductivity with the temporal gauge ⋮ Two-parameter twisted quantum affine algebras ⋮ Drinfeld double of deformed quantum algebras ⋮ Kostant-Lusztig 𝔸-bases of multiparameter quantum groups

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