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The Resource Representations of semisimple Lie algebras in the BGG category O, James E. Humphreys

Representations of semisimple Lie algebras in the BGG category O, James E. Humphreys

Label
Representations of semisimple Lie algebras in the BGG category O
Title
Representations of semisimple Lie algebras in the BGG category O
Statement of responsibility
James E. Humphreys
Creator
Subject
Language
eng
Summary
"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."--BOOK JACKET
Member of
Cataloging source
DLC
http://library.link/vocab/creatorName
Humphreys, James E
Dewey number
512/.482
Illustrations
illustrations
Index
index present
LC call number
QA252.3
LC item number
.H864 2008
Literary form
non fiction
Nature of contents
bibliography
Series statement
Graduate studies in mathematics
Series volume
v. 94
http://library.link/vocab/subjectName
  • Representations of Lie algebras
  • Categories (Mathematics)
Label
Representations of semisimple Lie algebras in the BGG category O, James E. Humphreys
Instantiates
Publication
Bibliography note
Includes bibliographical references (pages 271-282) and index
Carrier category
volume
Carrier category code
  • nc
Carrier MARC source
rdacarrier
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
  • Translation functors
  • Kazhdan-Lusztig theory
  • Parabolic versions of category O
  • Projective functors and principal series
  • Tilting modules
  • Twisting and completion functors
  • Complements
  • Preface
  • Review of semisimple Lie algebras
  • Category O: basics
  • Characters of finite dimensional modules
  • Category O: methods
  • Highest weight modules I
  • Highest weight modules II
  • Extensions and resolutions
Control code
213495436
Dimensions
27 cm
Extent
xvi, 289 pages
Isbn
9780821846780
Isbn Type
(alk. paper)
Lccn
2008012667
Media category
unmediated
Media MARC source
rdamedia
Media type code
  • n
Other physical details
illustrations
System control number
(OCoLC)213495436
Label
Representations of semisimple Lie algebras in the BGG category O, James E. Humphreys
Publication
Bibliography note
Includes bibliographical references (pages 271-282) and index
Carrier category
volume
Carrier category code
  • nc
Carrier MARC source
rdacarrier
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
  • Translation functors
  • Kazhdan-Lusztig theory
  • Parabolic versions of category O
  • Projective functors and principal series
  • Tilting modules
  • Twisting and completion functors
  • Complements
  • Preface
  • Review of semisimple Lie algebras
  • Category O: basics
  • Characters of finite dimensional modules
  • Category O: methods
  • Highest weight modules I
  • Highest weight modules II
  • Extensions and resolutions
Control code
213495436
Dimensions
27 cm
Extent
xvi, 289 pages
Isbn
9780821846780
Isbn Type
(alk. paper)
Lccn
2008012667
Media category
unmediated
Media MARC source
rdamedia
Media type code
  • n
Other physical details
illustrations
System control number
(OCoLC)213495436

Library Locations

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      104 Ellis Library, Columbia, MO, 65201, US
      38.944377 -92.326537
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