Table of Contents

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.