Quantum double and multiparameter quantum groups

DOI10.1080/00927879408825192zbMath0815.17011OpenAlexW2050937360MaRDI QIDQ4317748

Michela Varagnolo, Mauro Costantini

Publication date: 9 July 1995

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

Full work available at URL: https://doi.org/10.1080/00927879408825192

zbMATH Keywords

Hopf algebraquantum doublemultiparameter quantum group

Mathematics Subject Classification ID

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

Related Items (14)

On the Quantum Function Algebra at Roots of One ⋮ Algebraic structure of multiparameter quantum groups ⋮ Simple modules over the multiparameter quantum function algebra at roots of 1 ⋮ Quantizations of Kac-Moody algebras. ⋮ 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 ⋮ SPECTRA AND CATENARITY OF MULTI-PARAMETER QUANTUM SCHUBERT CELLS ⋮ A class of quadratic matrix algebras arising from the quantized enveloping algebra Uq(A2n−1) ⋮ Right coideal subalgebras in \(U_q(\mathfrak{sl}_{n+1})\) ⋮ Hopf algebras of type \(A_n\), twistings and the FRT-construction. ⋮ Multiparameter quantum function algebra at roots of 1 ⋮ Twisted deformations vs. cocycle deformations for quantum groups ⋮ Multiparameter quantum groups at roots of unity ⋮ Two-parameter quantum deformation of Lie superalgebras

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