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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...
Almost split Kac-Moody groups over ultrametric fields
split Kac-Moody groups ultrametric fields
2012/2/29
For a split Kac-Moody group G over an ultrametric field K, S. Gaussent and the author defined an ordered affine hovel on which the group acts; it generalizes the Bruhat-Tits building which corresponds...