Representations and Nilpotent Orbits of Lie Algebraic Systems

In Honour of the 75th Birthday of Tony Joseph

  • Maria Gorelik
  • Vladimir Hinich
  • Anna Melnikov

Part of the Progress in Mathematics book series (PM, volume 330)

Table of contents

  1. Front Matter
    Pages i-xvii
  2. Arkady Berenstein, Jacob Greenstein, Jian-Rong Li
    Pages 19-72
  3. Giovanna Carnovale, Francesco Esposito
    Pages 73-90
  4. Alexander Elashvili, Mamuka Jibladze, Victor Kac
    Pages 111-131
  5. Michael Finkelberg, Alexander Tsymbaliuk
    Pages 133-304
  6. William M. McGovern
    Pages 411-419

About this book


This volume, a celebration of Anthony Joseph’s fundamental influence on classical and quantized representation theory, explores a wide array of current topics in Lie theory by experts in the area. The chapters are based on the 2017 sister conferences titled “Algebraic Modes of Representations,” the first of which was held from July 16-18 at the Weizmann Institute of Science and the second from July 19-23 at the University of Haifa. The chapters in this volume cover a range of topics, including:
  • Primitive ideals
  • Invariant theory
  • Geometry of Lie group actions
  • Quantum affine algebras
  • Yangians
  • Categorification
  • Vertex algebras
This volume is addressed to mathematicians who specialize in representation theory and Lie theory, and who wish to learn more about this fascinating subject.


Lie theory Representation theory Nilpotent orbits Anthony Joseph mathematics Anthony Joseph Weizmann Institute Lie algebra Lie algebra representation Nilpotent group Nilpotent lie group Yangians Invariant theory Quantum algebra Primitive ideals

Editors and affiliations

  • Maria Gorelik
    • 1
  • Vladimir Hinich
    • 2
  • Anna Melnikov
    • 3
  1. 1.Department of MathematicsWeizmann Institute of ScienceRehovotIsrael
  2. 2.Department of MathematicsUniversity of HaifaHaifaIsrael
  3. 3.Department of MathematicsUniversity of HaifaHaifaIsrael

Bibliographic information