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Poisson brackets associated with the classical Yang-Baxter equation

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Publication:913964
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DOI10.1007/BF01078578zbMath0701.22008MaRDI QIDQ913964

Dimitri Gurevich

Publication date: 1989

Published in: Functional Analysis and its Applications (Search for Journal in Brave)


zbMATH Keywords

Lie algebraLie groupYang-Baxter equationPoisson bracketsquantum analogs


Mathematics Subject Classification ID

Commutators, derivations, elementary operators, etc. (47B47) Lie algebras of Lie groups (22E60) Commutation relations and statistics as related to quantum mechanics (general) (81S05)


Related Items (6)

Solutions of the KdV equation elliptic in \(t\) ⋮ Quantization of Poisson pairs: The \(R\)-matrix approach ⋮ Elliptic solutions of nonlinear equations ⋮ Harish-Chandra S-homomorphism and \({\mathfrak G}\)-modules generated by a semiprimitive element ⋮ On a class of elliptic solutions of the Boussinesq equations ⋮ The elliptic-in-\(t\) solutions of the nonlinear Schrödinger equation



Cites Work

  • The complex exponent of a singularity does not change along strata mu=const


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