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Quantum linear groups and representations of ${\rm GL}_n({\bf F}_q)$

About this Title

Jonathan Brundan, Richard Dipper and Alexander Kleshchev

Publication: Memoirs of the American Mathematical Society
Publication Year 2001: Volume 149, Number 706
ISBNs: 978-0-8218-2616-4 (print); 978-1-4704-0297-6 (online)
MathSciNet review: 1804485
MSC: Primary 20C20; Secondary 20G05, 20G40

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Table of Contents


  • Introduction
  • 1. Quantum linear groups and polynomial induction
  • 2. Classical results on $GL_n$
  • 3. Connecting $GL_n$ with quantum linear groups
  • 4. Further connections and applications
  • 5. The affine general linear group