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Elliptic beta integrals and solvable models of statistical mechanics
Elliptic beta integrals solvable models
2010/12/23
The univariate elliptic beta integral was discovered by the author in 2000. Recently Bazhanov and Sergeev have interpreted it as a star-triangle relation (STR). This important observation is discussed...
Non-commutative mechanics and Exotic Galilean symmetry
Non-commutative mechanics Exotic Galilean symmetry
2010/12/23
In order to derive a large set of Hamiltonian dynamical systems, but with only first order Lagrangian, we resort to the formulation in terms of Lagrange-Souriau 2-form formalism. A wide class of syste...