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The Resource Differential operators and highest weight representations

Differential operators and highest weight representations

Label
Differential operators and highest weight representations
Title
Differential operators and highest weight representations
Creator
Contributor
Author
Subject
Language
eng
Summary
This memoir concerns the representation theory of semisimple Lie groups. The main results offer characterizations of unitary highest weight representations as solutions to systems of differential operators
Cataloging source
UkLiU
http://library.link/vocab/creatorDate
1955-
http://library.link/vocab/creatorName
Davidson, Mark G.
http://library.link/vocab/relatedWorkOrContributorDate
1954-
http://library.link/vocab/relatedWorkOrContributorName
  • Enright, Thomas J.
  • Stanke, Ronald J.
Series statement
Memoirs of the American Mathematical Society
Series volume
455
http://library.link/vocab/subjectName
  • Semisimple Lie groups
  • Representations of groups
  • Differential operators
Label
Differential operators and highest weight representations
Instantiates
Publication
Bibliography note
Includes bibliographical references (pages 99-102), 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
  • Young products and a refinement of the factorization theorem
  • The fundamental system of differential operators
  • Explicit forms of the systems of differential operators for the classical groups
  • The ladder representation examples
  • [italic]K[subscript double-struck capital]{u2102}-orbits in [Fraktur lowercase]p[subscript]+ and the Wallach representations
  • Appendix
  • Introduction and summary of results
  • Vector bundles and algebraic conventions
  • Conjugate pairings and reproducing kernels
  • [Fraktur lowercase]k-irreducibility of the system of differential operators
  • [Fraktur lowercase]p[subscript]+-cohomology for the exceptional groups
  • Notational conventions and a lemma
  • The cone decomposition
  • The oscillator representation, harmonic polynomials and associated affine varieties
Dimensions
26 cm.
Extent
iv, 102 pages
Isbn
9780821825099
Media category
unmediated
Media MARC source
rdamedia
Media type code
  • n
Other physical details
illustrations, tables
Label
Differential operators and highest weight representations
Publication
Bibliography note
Includes bibliographical references (pages 99-102), 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
  • Young products and a refinement of the factorization theorem
  • The fundamental system of differential operators
  • Explicit forms of the systems of differential operators for the classical groups
  • The ladder representation examples
  • [italic]K[subscript double-struck capital]{u2102}-orbits in [Fraktur lowercase]p[subscript]+ and the Wallach representations
  • Appendix
  • Introduction and summary of results
  • Vector bundles and algebraic conventions
  • Conjugate pairings and reproducing kernels
  • [Fraktur lowercase]k-irreducibility of the system of differential operators
  • [Fraktur lowercase]p[subscript]+-cohomology for the exceptional groups
  • Notational conventions and a lemma
  • The cone decomposition
  • The oscillator representation, harmonic polynomials and associated affine varieties
Dimensions
26 cm.
Extent
iv, 102 pages
Isbn
9780821825099
Media category
unmediated
Media MARC source
rdamedia
Media type code
  • n
Other physical details
illustrations, tables

Library Locations

    • Harold Cohen LibraryBorrow it
      Ashton Street, Liverpool, L69 3DA, GB
      53.418074 -2.967913
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