Calogero-Moser-Sutherland Models Book

Classical Dynamics r-Matrices for Calogero-Moser Systems and Their Generalizations.- Hidden Algebraic Structure of Calogero-Sutherland Model.- Polynomial Eigenfunctions of the Calogero-Sutherland-Moser Models.- The Theory of Lacunas and Quantum Integrable Systems.- Canonical Forms for the C-Invariant Tensors.- R-Matrices, Generalized Inverses and Calogero-Moser-Sutherland Models.- Tricks of the Trade:..- Classical and Quantum Partition Functions of the Calogero-Moser-Sutherland Model.- The Meander Determinant and its Generalizations.- Differential Equations for Multivariable Hermite and Laguerre Polynomials.- Quantum Currents Realizaton of the Elliptic Quantum Groups.- Heisenberg-Ising Spin Chain:.. - Ruijsenaars' Commuting Difference System from Belavin's Elliptic R-Matrix.- Invariants and Eigenvectors for quantum Heisenberg Chains with Elliptic Exchanges.- The Bispectral Involution as a Linearizing Map.- On Some Quadratic Algebras:..- Elliptic Solutions to Difference Nonlinear Equations and Nested Bethe Ansatz Equations.- Creation.