SYMMETRIES AND INVARIANTS OF TWISTED QUANTUM ALGEBRAS AND ASSOCIATED POISSON ALGEBRAS

DOI10.1142/S0129055X08003250zbMath1190.17009arXivmath/0701902MaRDI QIDQ3521570

Eric Ragoucy, Alexander I. Molev

Publication date: 26 August 2008

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

Full work available at URL: https://arxiv.org/abs/math/0701902

zbMATH Keywords

Poisson bracketquantum enveloping algebraCasimir elementsbraid group actions

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) Poisson algebras (17B63)

Related Items (13)

Algebraic properties of Manin matrices. I ⋮ Analogues of quantum Schubert cell algebras in PBW-deformations of quantum groups ⋮ Poisson algebras of block-upper-triangular bilinear forms and braid group action ⋮ Hall algebras and quantum symmetric pairs. II: Reflection functors ⋮ On a Poisson homogeneous space of bilinear forms with a Poisson-Lie action ⋮ PBW-deformations of quantum groups ⋮ Stokes phenomenon and reflection equations ⋮ An intrinsic approach to relative braid group symmetries on ı$\imath$quantum groups ⋮ Isomonodromic deformations and twisted Yangians arising in Teichmüller theory ⋮ Quantised Painlevé monodromy manifolds, Sklyanin and Calabi-Yau algebras ⋮ Braid group actions on coideal subalgebras of quantized enveloping algebras ⋮ Braid group symmetries on quasi-split \(\imath\)quantum groups via \(\imath\)Hall algebras ⋮ Center of quantum algebra $U_q^{\prime }({\rm so}_3)$Uq′( so 3)

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