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
Two-parameter quantum affine algebra of type \(C_n^{(1)}\), Drinfeld realization and vertex representation ⋮
Pointed Hopf algebras with triangular decomposition. A characterization of multiparameter quantum groups ⋮
Quantum group actions, twisting elements, and deformations of algebras. ⋮
Extremal projectors of two-parameter Kashiwara algebras ⋮
R-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 polynomials ⋮
Convex 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 groups ⋮
Quantizations \(U_q (\mathfrak{sl}_{n + 1}^+)\) and \(U_q (\mathfrak{so}_{2n + 1}^+)\) as quadratic-linear algebras ⋮
Quantum subgroups of simple twisted quantum groups at roots of one ⋮
Two-parameter quantum affine algebra \(U_{r,s}(\widehat{\mathfrak {sl}_n})\), Drinfel'd realization and quantum affine Lyndon basis ⋮
On the centre of two-parameter quantum groups \(U_{r, s}(\mathfrak{g})\) for type \(B_n\) with \(n\) even ⋮
Derivations 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 algebras ⋮
Equitable presentations for multiparameter quantum groups ⋮
Derivations 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 type ⋮
Algebra endomorphisms and derivations of some localized down-up algebras ⋮
Whittaker 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 groups ⋮
Two-parameter Quantum Groups of Exceptional Type E-Series and Convex PBW-type Basis ⋮
R-matrix for the two parameter quantum superalgebra U r,s(osp(1|2n)) ⋮
Two-parameter quantum vertex representations via finite groups and the McKay correspondence ⋮
PBWD 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 forms ⋮
Two-parameter Quantum Superalgebras and PBW Theorem ⋮
Two-parameter twisted quantum affine algebras ⋮
Two-Parameter Analogs of the Heisenberg Enveloping Algebra ⋮
Drinfeld double of deformed quantum algebras ⋮
Fermionic realization of two-parameter quantum affine algebra \(U_{r,s}(\widehat{\mathfrak{sl}}_n)\) ⋮
(Hopf) Algebra Automorphisms of the Hopf Algebra ⋮
Two-parameter quantum affine algebra of type G2(1), Drinfeld realization and vertex representation ⋮
Two-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 Algebra ⋮
Twisted deformations vs. cocycle deformations for quantum groups ⋮
Multiparameter quantum groups at roots of unity ⋮
Notes on Two-Parameter Quantum Groups, (II)
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