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Representations of shifted Yangians and finite $W$-algebras

About this Title

Jonathan Brundan and Alexander Kleshchev

Publication: Memoirs of the American Mathematical Society
Publication Year: 2008; Volume 196, Number 918
ISBNs: 978-0-8218-4216-4 (print); 978-1-4704-0524-3 (online)
DOI: https://doi.org/10.1090/memo/0918
MathSciNet review: 2456464
MSC: Primary 17B37; Secondary 17B10

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Table of Contents

Chapters

  • 1. Introduction
  • 2. Shifted Yangians
  • 3. Finite $W$-algebras
  • 4. Dual canonical bases
  • 5. Highest weight theory
  • 6. Verma modules
  • 7. Standard modules
  • 8. Character formulae