Representations of semisimple Lie algebras in the BGG category O /

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Bibliographic Details
Author / Creator:Humphreys, James E.
Imprint:Providence, R.I. : American Mathematical Society, c2008.
Description:xvi, 289 p. : ill. ; 27 cm.
Language:English
Series:Graduate studies in mathematics ; v. 94
Subject:
Format: Print Book
URL for this record:http://pi.lib.uchicago.edu/1001/cat/bib/7247397
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ISBN:9780821846780 (alk. paper)
0821846787 (alk. paper)
Notes:Includes bibliographical references (p. 271-282) and index.
Table of Contents:
  • Review of semisimple Lie algebras
  • Highest weight modules: Category $\mathcal{{O}}$: Basics
  • Characters of finite dimensional modules
  • Category $\mathcal{{O}}$: Methods Highest weight modules
  • I Highest weight modules
  • II Extensions and resolutions Translation functors
  • Kazhdan-Lusztig theory Further developments: Parabolic versions of category $\mathcal{{O}}$
  • Projective functors and principal series
  • Tilting modules Twisting and completion functors Complements
  • Bibliography Frequently used symbols
  • Index