MAZORCHUK, VOLODYMYR. Generalized Verma Modules. VNTL Publishers, 2000. ISBN 9667148904, 145 x 215 mm, 182 pp., laminated wrappers.
The monograph presents a systematic study of generalized Verma modules over a semi-simple complex finite-dimensional Lie algebra induced from a simple infinite-dimensional modules over a parabolic subalgebra. The study of generalized Verma modules begins with an analogue of the BGG Theorem which gives a criterion for embeddings of generalized Verma modules in the case of induction from a simple generic Gelfand-Zetlin module. Mathematical Studies: Monograph Series. Volume 8.