Download or read book Categories of Highest Weight Modules: Applications to Classical Hermitian Symmetric Pairs written by Thomas J. Enright and published by American Mathematical Soc.. This book was released on 1987 with total page 102 pages. Available in PDF, EPUB and Kindle. Book excerpt: The category of highest weight representations is of special interest withing the full set of representations of a real semisimple Lie group. This memoir describes the structure of the generalized Verma modules as well as the Kazhdan-Lusztig data for the simple modules in this category for the classical groups. In particular, explicit formulas for composition factors of generalized Verma modules and Kazhdan-Lusztig polynomials are given.