Double quantization on the coadjoint representation of sl(n)

الأصل · EN

For =sl(n) we construct a two parametric Uₕ()-invariant family of algebras, (S)ₜ,ₕ, which defines a quantization of the function algebra S on the coadjoint representation and in the parameter t gives a quantization of the Lie bracket. The family induces a two parametric deformation of the function algebra of any maximal orbit which is a quantization of the Kirillov-Kostant-Souriau bracket in the parameter t. In addition we construct a quantum de Rham complex on.