Titlebook: Symmetries and Singularity Structures; Integrability and Ch Muthuswamy Lakshmanan,Muthiah Daniel Conference proceedings 1990 Springer-Verla

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Integrable Quantum Spin Chains and Some Problems Related to Integrable Systemsiguing relation between integrability, boundary condition and conformal symmetry of the model. In the second part, an integrable generalisation of the XYZ model with higher spins is presented and some novel symmetry of the related R-matrix is found out leading to many anisotropic integrable models.

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Symmetries and Constants of Motion of Integrable SystemsIn this paper, we give a summary of the results of our group concerning the symmetries and constants of motion and relevant algebraic and structure for the “s-integrable” and “c-integrable” equations.

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Random Matrices and Quantum Chaos: Effects of Symmetry-Breaking on Spectral CorrelationsSpectral correlations in quantum chaotic systems undergo a rapid transition from one universality class to another when a symmetry of the system is gradually broken. We review the random-matrix theory for such transitions and derive the correlation functions of all orders in closed forms in the important case of time-reversal symmetry breaking.