Cyclic and Hochschild homology of certain quantum homogeneous spaces
The authors quantize certain inclusions of semisimple Lie algebras \({\mathfrak h}\subset{\mathfrak g}\) and compute the cyclic and Hochschild homologies for the \(\mathbb{C}((h))\)-quantizations of the ring of formal functions on \(G/H\) (\(G,H\)-semisimple Lie groups associated with these inclusions) and the ring of algebraic functions \(\text{SL}(2,\mathbb{C})/T\) (\(T\) -- the nonquantized torus of \(\text{SL}(2,\mathbb{C})\).
scientific article; zbMATH DE number 166866