加载中…
We define a family of star products and involutions associated with -Minkowski space. Applying corresponding quantization maps we show that these star products restricted to a certain space of Schwartz functions have isomorphic Banach algebra completions. For two particular star products it is demonstrated that they can be extended to a class of polynomially bounded smooth functions allowing a realization of the full Hopf algebra structure on -Minkowski space. Furthermore, we give an explicit realization of the action of the -Poincar'e algebra as an involutive Hopf algebra on this representation of -Minkowski space and initiate a study of its properties.

生成讲解博客的中文版本

生成AI智能校验的中文版本