Notes on Two-Parameter Quantum Groups, (II)

DOI10.1080/00927872.2011.562581zbMath1259.17011arXiv0908.1635OpenAlexW3100904439MaRDI QIDQ3145430

Yufeng Pei, Hu, Naihong

Publication date: 20 December 2012

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

Full work available at URL: https://arxiv.org/abs/0908.1635

zbMATH Keywords

two-parameter quantum groupsBigraded Hopf algebrasdeformed module structuresequivalence of braided tensor categoriesHopf 2-cocycle deformation

Mathematics Subject Classification ID

Related Items (9)

The extension of a quantized Borcherds superalgebra by a Hopf algebra ⋮ Two-parameter quantum affine algebra of type \(C_n^{(1)}\), Drinfeld realization and vertex representation ⋮ Extremal projectors of two-parameter Kashiwara algebras ⋮ The Green rings of the 2-rank Taft algebra and its two relatives twisted. ⋮ Quantum supergroup Ur,s(osp(1,2)), Scasimir operators and Dickson polynomials ⋮ On the centre of two-parameter quantum groups \(U_{r, s}(\mathfrak{g})\) for type \(B_n\) with \(n\) even ⋮ Equitable presentations for multiparameter quantum groups ⋮ Convex PBW-type Lyndon bases and restricted two-parameter quantum groups of type \(B\) ⋮ Two-parameter quantum affine algebra of type G2(1), Drinfeld realization and vertex representation

Cites Work

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• Notes on 2-parameter quantum groups. I.
• Examples of compact matrix pseudogroups arising from the twisting operation
• Quantum groups and quantum shuffles
• Algebraic structure of multiparameter quantum groups
• Two-parameter quantum groups and Drinfel'd doubles.
• Quantum double of \(\text U_q((\mathfrak{sl}_2)^{\leqslant 0})\)
• Hopf algebras of type \(A_n\), twistings and the FRT-construction.
• The Weyl groupoid of a Nichols algebra of diagonal type
• Drinfel'd doubles and Lusztig's symmetries of two-parameter quantum groups
• Multiparameter quantum groups and twisted quasitriangular Hopf algebras
• Multi-parameter Quantum Groups and Quantum Shuffles, (I)
• Quantum deformations of GL_n
• Multiplication alteration by two-cocycles - the quantum version

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