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  • © 2019

Representations and Nilpotent Orbits of Lie Algebraic Systems

In Honour of the 75th Birthday of Tony Joseph

Birkhäuser
  • Commemorates the mathematical achievements of Anthony Joseph, one of Lie theory’s leading figures

  • Explores recent advances in topics that Joseph fundamentally influenced

  • Equips readers with an understanding of various subjects within Lie algebra and representation theory

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

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eBook USD 129.00
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  • ISBN: 978-3-030-23531-4
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Softcover Book USD 169.99
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Table of contents (14 chapters)

  1. Front Matter

    Pages i-xvii
  2. On Cacti and Crystals

    • Arkady Berenstein, Jacob Greenstein, Jian-Rong Li
    Pages 19-72
  3. Quotients for Sheets of Conjugacy Classes

    • Giovanna Carnovale, Francesco Esposito
    Pages 73-90
  4. On Dynkin Gradings in Simple Lie Algebras

    • Alexander Elashvili, Mamuka Jibladze, Victor Kac
    Pages 111-131
  5. Multiplicative Slices, Relativistic Toda and Shifted Quantum Affine Algebras

    • Michael Finkelberg, Alexander Tsymbaliuk
    Pages 133-304
  6. Closures of On-Orbits in the Flag Variety for GLn

    • 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.

Keywords

  • 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

  • Department of Mathematics, Weizmann Institute of Science, Rehovot, Israel

    Maria Gorelik

  • Department of Mathematics, University of Haifa, Haifa, Israel

    Vladimir Hinich, Anna Melnikov

Bibliographic Information

  • Book Title: Representations and Nilpotent Orbits of Lie Algebraic Systems

  • Book Subtitle: In Honour of the 75th Birthday of Tony Joseph

  • Editors: Maria Gorelik, Vladimir Hinich, Anna Melnikov

  • Series Title: Progress in Mathematics

  • DOI: https://doi.org/10.1007/978-3-030-23531-4

  • Publisher: Birkhäuser Cham

  • eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)

  • Copyright Information: Springer Nature Switzerland AG 2019

  • Hardcover ISBN: 978-3-030-23530-7

  • Softcover ISBN: 978-3-030-23533-8

  • eBook ISBN: 978-3-030-23531-4

  • Series ISSN: 0743-1643

  • Series E-ISSN: 2296-505X

  • Edition Number: 1

  • Number of Pages: XVII, 553

  • Number of Illustrations: 59 b/w illustrations, 16 illustrations in colour

  • Topics: Topological Groups and Lie Groups

Buying options

eBook USD 129.00
Price excludes VAT (USA)
  • ISBN: 978-3-030-23531-4
  • Instant PDF download
  • Readable on all devices
  • Own it forever
  • Exclusive offer for individuals only
  • Tax calculation will be finalised during checkout
Softcover Book USD 169.99
Price excludes VAT (USA)
Hardcover Book USD 169.99
Price excludes VAT (USA)