ON AN ANALOGUE OF BGG-RECIPROCITY

Abstract

We prove an analogue of BGG-reciprocity for certain categories of modules associated with a parabolic subalgebra of a simple finite-dimensional Lie algebra.

ACKNOWLEDGMENTS

The research was done during the visit of the second author to Bielefeld University as an Alexander von Humboldt fellow. Financial support of the Humboldt Foundation and hospitality of Bielefeld University are gratefully acknowledged.