Determinants in quantum matrix algebras and integrable systems

DOI10.1134/S004057792105007XzbMath1467.81053arXiv1906.07287OpenAlexW3173270812MaRDI QIDQ2036378

Pavel A. Saponov, Dimitri Gurevich

Publication date: 29 June 2021

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

Full work available at URL: https://arxiv.org/abs/1906.07287

zbMATH Keywords

quantum matrix algebraquantum determinantquantum symmetric polynomialcompatible braidinggeneralized Yangianhalf-quantum algebra

Mathematics Subject Classification ID

Spinor and twistor methods applied to problems in quantum theory (81R25) Operator algebra methods applied to problems in quantum theory (81R15) Special quantum systems, such as solvable systems (81Q80)

Related Items (3)

Matrix Capelli identities related to reflection equation algebra ⋮ Manin matrices for quadratic algebras ⋮ A quantum shuffle approach to quantum determinants

Cites Work

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• Algebraic properties of Manin matrices. II: \(q\)-analogues and integrable systems
• Algebraic properties of Manin matrices. I
• A q-difference analogue of \(U({\mathfrak g})\) and the Yang-Baxter equation
• A q-analogue of Young symmetrizer
• Hecke symmetries and characteristic relations on reflection equation algebras
• Quantum groups and noncommutative geometry. With a contribution by Theo Raedschelders and Michel Van den Bergh
• From reflection equation algebra to braided Yangians
• Bethe subalgebras in braided Yangians and Gaudin-type models
• Braided Yangians
• Representation theory of (modified) reflection equation algebra of $GL(m|n)$ type
• HALF-QUANTUM LINEAR ALGEBRA
• Hopf algebras and vector symmetries
• On quantum matrix algebras satisfying the Cayley - Hamilton - Newton identities
• BAXTERIZATION

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