Representations of semisimple Lie algebras in the BGG category O
By: James E. Humphreys.
Series: Graduate studies in mathematics -- v. 94
Publisher: American Mathematical Society
Published: 2008
Place of publication: Providence, R.I
Language: eng
Number of pages: 289
ISBN-13: 9780821846780
Subjects: Representations of Lie algebras; Categories (Mathematics)
Description: "This is the first textbook treatment of work leading to the landmark 1979 Kazhdan-Lusztig Conjecture on characters of simple highest weight modules for a semisimple Lie algebra g over C, The setting is the module category [O] introduced by Bernstein-Gelfand-Gelfand, which includes all highest weight modules for g such as Verma modules and finite dimensional simple modules. Analogues of this category have become influential in many areas of representation theory."--Jacket.
Notes: Includes bibliographical references and index.