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math.QA2001
Local action of the symmetric group and the twisted Yang-Baxter relation
Alexander Odesskii
The generalization of the the Yang-Baxter relation is proposed. In this generalization the spectral parameters of the particles change after the scattering. The corresponding algeb…
math.QA2001★ 1 cited
Polynomilal Poisson algebras with regular structure of symplectic leaves
A. Odesskii, V. Rubtsov
We study polynomial Poisson algebras with some regularity conditions. Linear (Lie-Berezin-Kirillov) structures on dual spaces of semi-simple Lie algebras, quadratic Sklyanin ellipt…