Quantization of Poisson algebraic groups and Poisson homogeneous spaces

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/149547This paper consists of two parts. In the first part we show that any Poisson algebraic group over a field of characteristic zero and any Poisson Lie group admits a local quantization. This answers positively a question of Drinfeld. In the second part we apply our techniques of quantization to obtain some nontrivial examples of quantization of Poisson homogeneous spaces.9 pages, amstex. The revised version contains a new referenceQuantum AlgebraQuantization of Poisson algebraic groups and Poisson homogeneous spacestext