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Double Bruhat Cells in Kac-Moody Groups and Integrable Systems
Double Bruhat Cells Kac-Moody Groups Integrable Systems Quantum Algebra
2012/4/18
We construct a family of integrable Hamiltonian systems parametrized by pairs of Coxeter elements in the affine Weyl group. Their phase spaces are double Bruhat cells in the corresponding Kac-Moody gr...