Two-parameter quantum groups and Drinfel'd doubles.

From MaRDI portal
Publication:1876071

DOI10.1023/B:ALGE.0000031151.86090.2ezbMath1113.16041arXivmath/0011064OpenAlexW1998780743WikidataQ56675163 ScholiaQ56675163MaRDI QIDQ1876071

Sarah Witherspoon, Georgia M. Benkart

Publication date: 16 August 2004

Published in: Algebras and Representation Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0011064




Related Items (43)

Two-parameter quantum affine algebra of type \(C_n^{(1)}\), Drinfeld realization and vertex representationPointed Hopf algebras with triangular decomposition. A characterization of multiparameter quantum groupsQuantum group actions, twisting elements, and deformations of algebras.Extremal projectors of two-parameter Kashiwara algebrasR-matrix realization of two-parameter quantum affine algebra \(U_{r, s} (\hat{\mathfrak{gl}}_n)\)Quantizations of Kac-Moody algebras.Quantum subgroups of \(\text{GL}_{\alpha ,\beta }(n)\)Quantum supergroup Ur,s(osp(1,2)), Scasimir operators and Dickson polynomialsConvex PBW-type Lyndon bases and restricted two-parameter quantum group of type \(F_4\)Complete reducibility theorems for modules over pointed Hopf algebras.Factorization of simple modules for certain restricted two-parameter quantum groupsQuantizations \(U_q (\mathfrak{sl}_{n + 1}^+)\) and \(U_q (\mathfrak{so}_{2n + 1}^+)\) as quadratic-linear algebrasQuantum subgroups of simple twisted quantum groups at roots of oneTwo-parameter quantum affine algebra \(U_{r,s}(\widehat{\mathfrak {sl}_n})\), Drinfel'd realization and quantum affine Lyndon basisOn the centre of two-parameter quantum groups \(U_{r, s}(\mathfrak{g})\) for type \(B_n\) with \(n\) evenDerivations of the positive part of the two-parameter quantum group of type \(G_2\)Notes on 2-parameter quantum groups. I.A class of Drinfeld doubles that are ribbon algebras.Nichols algebras over weak Hopf algebrasEquitable presentations for multiparameter quantum groupsDerivations and automorphisms of the positive part of the two-parameter quantum group \(U_{r,s}(B_{3})\)Lusztig isomorphisms for Drinfel'd doubles of bosonizations of Nichols algebras of diagonal typeAlgebra endomorphisms and derivations of some localized down-up algebrasWhittaker modules for \(U_q(\mathfrak{sl}_2)\)Convex PBW-type Lyndon bases and restricted two-parameter quantum groups of type \(B\)Drinfel'd doubles and Lusztig's symmetries of two-parameter quantum groupsTwo-parameter Quantum Groups of Exceptional Type E-Series and Convex PBW-type BasisR-matrix for the two parameter quantum superalgebra U r,s(osp(1|2n))Two-parameter quantum vertex representations via finite groups and the McKay correspondencePBWD 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 formsTwo-parameter Quantum Superalgebras and PBW TheoremTwo-parameter twisted quantum affine algebrasTwo-Parameter Analogs of the Heisenberg Enveloping AlgebraDrinfeld double of deformed quantum algebrasFermionic realization of two-parameter quantum affine algebra \(U_{r,s}(\widehat{\mathfrak{sl}}_n)\)(Hopf) Algebra Automorphisms of the Hopf AlgebraTwo-parameter quantum affine algebra of type G2(1), Drinfeld realization and vertex representationTwo-parameter Quantum Affine Algebra $U_{r,s}(\widehat{\frak{sl}}_2)$\(R\)-matrix realization of two-parameter quantum group \(U_{r,s}(\mathfrak {gl}_n)\)Derivations of the Two-Parameter Quantized Enveloping AlgebraTwisted deformations vs. cocycle deformations for quantum groupsMultiparameter quantum groups at roots of unityNotes on Two-Parameter Quantum Groups, (II)




This page was built for publication: Two-parameter quantum groups and Drinfel'd doubles.