Generalized Yangians and their Poisson counterparts

DOI10.1134/S004057791709001XzbMath1382.81120arXiv1702.03223OpenAlexW3105492576MaRDI QIDQ681943

Pavel A. Saponov, Dimitri Gurevich

Publication date: 13 February 2018

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1702.03223

zbMATH Keywords

Poisson structuredeformation propertyquantum determinantbraided Yangiancurrent \(R\)-matrixquantum symmetric polynomial

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) Yang-Baxter equations (16T25)

Related Items (1)

Drinfeld-Sokolov reduction in quantum algebras: canonical form of generating matrices

Cites Work

• Spectral extension of the quantum group cotangent bundle
• Double quantization on some orbits in the coadjoint representations of simple Lie groups
• Braided Yangians
• The quantum Gaudin system
• Higher Sugawara operators for the quantum affine algebras of type \(A\)
• Representation theory of (modified) reflection equation algebra of $GL(m|n)$ type
• On quantum matrix algebras satisfying the Cayley - Hamilton - Newton identities
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