Multiparameter quantum groups and multiparameter \(R\)-matrices

DOI10.1007/BF00996106zbMath0838.16032OpenAlexW3023276418MaRDI QIDQ1903556

Michiel Hazewinkel

Publication date: 30 May 1996

Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00996106

zbMATH Keywords

Yang-Baxter equationlink invariantsexplicit \(R\)-matricesquantum group deformations

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35)

Cites Work

• A two-parameter quantization of GL(n)
• Matric bialgebras and quantum groups
• The Yang-Baxter equation and invariants of links
• Multiparametric quantum deformation of the general linear supergroup
• Multiparameter quantum groups and twisted quasitriangular Hopf algebras
• Quantum GL_n
• Two-Parameter Quantum Linear Groups and the Hyperbolic Invariance of q -Schur Algebras
• Bialgebra cohomology, deformations, and quantum groups.
• Hopf algebras and vector symmetries
• Quantum deformations of GL_n
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