Hecke algebraic properties of dynamical R -matrices. Application to related quantum matrix algebras

DOI10.1063/1.532779zbMath1037.81548arXivq-alg/9712026OpenAlexW3104256055MaRDI QIDQ4701724

A. P. Isaev, P. N. Pyatov, O. V. Ogievetskij, Ludmil K. Hadjiivanov, Ivan T. Todorov

Publication date: 21 November 1999

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/q-alg/9712026

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Quantum groups and related algebraic methods applied to problems in quantum theory (81R50)

Related Items (13)

“Spread” Restricted Young Diagrams from a 2D WZNW Dynamical Quantum Group ⋮ Spectral extension of the quantum group cotangent bundle ⋮ Diagonal reduction algebra and the reflection equation ⋮ A new dynamical reflection algebra and related quantum integrable systems ⋮ Differential calculus on \(\mathbf{h}\)-deformed spaces ⋮ Braided Yangians ⋮ On the \(h\)-adic quantum vertex algebras associated with Hecke symmetries ⋮ The dynamical \(U(n)\) quantum group ⋮ Zero modes' fusion ring and braid group representations for the extended chiral su(2) WZNW model ⋮ Dynamical quantum determinants and Pfaffians ⋮ From chiral to two-dimensional Wess-Zumino-Novikov-Witten model via quantum gauge group ⋮ \(R\)-matrix realization of two-parameter quantum group \(U_{r,s}(\mathfrak {gl}_n)\) ⋮ Traces in braided categories

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