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Quantum linear groups

About this Title

Brian Parshall and Jian Pan Wang

Publication: Memoirs of the American Mathematical Society
Publication Year: 1991; Volume 89, Number 439
ISBNs: 978-0-8218-2501-3 (print); 978-1-4704-0862-6 (online)
DOI: https://doi.org/http://dx.doi.org/10.1090/memo/0439
MathSciNet review: 1048073
MSC: Primary 16W30; Secondary 16S80, 20G05, 81R50, 82B23

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Table of Contents

Chapters

  • Introduction
  • 1. Quantum groups
  • 2. Representation theory of quantum groups
  • 3. Quantum matrix spaces
  • 4. Quantum determinants
  • 5. The antipode and quantum linear groups
  • 6. Some closed subgroups
  • 7. Frobenius morphisms and kernels
  • 8. Global representation theory
  • 9. Infinitesimal representation theory
  • 10. The generalization of certain important theorems on the cohomology of vector bundles on the flag manifold
  • 11. $q$-Schur algebras