Category O:: gradings and translation functors

[摘要] In this article we consider a graded version of category O. We reprove some results of [Beilinson et al., J. Amer. Math. Soc. 9 (1996) 473-527] using a different approach. Furthermore, we define a graded version of translation functors and duality. This provides the construction of various graded modules. On the other hand, we describe how to get modules which are not 'gradable.' (C) 2003 Elsevier Inc. All rights reserved.

[发布日期] 2003-10-01