有限W-代数的平移
Translation for finite W-algebras
摘要：
有限$W$ -代数$U(\g,e)$是一个可被看作复约化李代数$\g$的幂零元$e$的伴随轨道的Slodowy切片的包络代数的有限生成代数.有可能给一个$U(\g,e)$ -模与一个有限维$U(\g)$ -模的张量积一个$U(\g,e)$ -模的结构;我们把这样的张量积称为平移。在本文中，我们提出了一些基本性质的这些翻译，这是非常重要的理解的表示论的$U(\g,e)$。
英文摘要：
A finite $W$-algebra $U(\g,e)$ is a certain finitely generated algebra that can be viewed as the enveloping algebra of the Slodowy slice to the adjoint orbit of a nilpotent element $e$ of a complex reductive Lie algebra $\g$. It is possible to give the tensor product of a $U(\g,e)$-module with a finite dimensional $U(\g)$-module the structure of a $U(\g,e)$-module; we refer to such tensor products as translations. In this paper, we present a number of fundamental properties of these translations, which are expected to be of importance in understanding the representation theory of $U(\g,e)$.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
