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The Resource Quantum linear groups

Quantum linear groups

Label
Quantum linear groups
Title
Quantum linear groups
Creator
Contributor
Author
Subject
Language
eng
Summary
We consider the theory of quantum groups as a natural abstraction of the theory of affine group schemes. After establishing the foundational results as the theory of induced representations, rational cohomology, and the Hochschild-Serre spectral sequence, we take up a detailed investigation of the quantum linear group [italic]GL[italic subscript]q([italic]n). In particular, we develop the global and infinitesimal representation theory of [italic]GL[italic subscript]q([italic]n) and its subgroups
Cataloging source
UkLiU
http://library.link/vocab/creatorDate
1945-
http://library.link/vocab/creatorName
Parshall, Brian
http://library.link/vocab/relatedWorkOrContributorDate
1949-
http://library.link/vocab/relatedWorkOrContributorName
Wang, Jian-pan
Series statement
Memoirs of the American Mathematical Society
Series volume
439
http://library.link/vocab/subjectName
  • Linear algebraic groups
  • Representations of groups
  • Group schemes (Mathematics)
Label
Quantum linear groups
Instantiates
Publication
Bibliography note
Includes bibliographical references (pages 155-157)
Carrier category
volume
Carrier category code
  • nc
Carrier MARC source
rdacarrier
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
  • Global representation theory
  • Infinitesimal representation theory
  • The generalization of certain important theorems on the cohomology of vector bundles on the flag manifold - [italic]q-Schur algebras
  • Introduction
  • Quantum groups
  • Representation theory of quantum groups
  • Quantum matrix spaces
  • Quantum determinants
  • The antipode and quantum linear groups
  • Some closed subgroups
  • Frobenius morphisms and kernels
Dimensions
26 cm.
Extent
vi, 157 pages
Isbn
9780821825013
Media category
unmediated
Media MARC source
rdamedia
Media type code
  • n
Other physical details
illustrations
Label
Quantum linear groups
Publication
Bibliography note
Includes bibliographical references (pages 155-157)
Carrier category
volume
Carrier category code
  • nc
Carrier MARC source
rdacarrier
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
  • Global representation theory
  • Infinitesimal representation theory
  • The generalization of certain important theorems on the cohomology of vector bundles on the flag manifold - [italic]q-Schur algebras
  • Introduction
  • Quantum groups
  • Representation theory of quantum groups
  • Quantum matrix spaces
  • Quantum determinants
  • The antipode and quantum linear groups
  • Some closed subgroups
  • Frobenius morphisms and kernels
Dimensions
26 cm.
Extent
vi, 157 pages
Isbn
9780821825013
Media category
unmediated
Media MARC source
rdamedia
Media type code
  • n
Other physical details
illustrations

Library Locations

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      Ashton Street, Liverpool, L69 3DA, GB
      53.418074 -2.967913
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