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  • Book
  • © 2012

Highlights in Lie Algebraic Methods

Birkhäuser
  • Consists of invited contributions highlighting recent developments in Lie algebraic methods
  • Self-contained volume
  • Written by leading experts in their respective fields
  • Includes supplementary material: sn.pub/extras

Part of the book series: Progress in Mathematics (PM, volume 295)

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Table of contents (10 chapters)

  1. Front Matter

    Pages I-XV
  2. Courses

    1. Front Matter

      Pages 1-1
    2. Spherical Varieties

      • Michel Brion
      Pages 3-24
    3. Categories of Harish-Chandra Modules

      • Wolfgang Soergel
      Pages 103-122
    4. Generalized Harish-Chandra Modules

      • Gregg Zuckerman
      Pages 123-143
  3. Papers

    1. Front Matter

      Pages 145-145
    2. B-Orbits of 2-Nilpotent Matrices and Generalizations

      • Magdalena Boos, Markus Reineke
      Pages 147-166
    3. Hopf Algebras and Frobenius Algebras in Finite Tensor Categories

      • Christoph Schweigert, Jürgen Fuchs
      Pages 189-203
    4. Contractions and Polynomial Lie Algebras

      • Benjamin J. Wilson
      Pages 213-227

About this book

This volume consists of expository and research articles that highlight the various Lie algebraic methods used in mathematical research today. Key topics discussed include spherical varieties, Littelmann Paths and Kac–Moody Lie algebras, modular representations, primitive ideals, representation theory of Artin algebras and quivers, Kac–Moody superalgebras, categories of Harish–Chandra modules, cohomological methods, and cluster algebras. 

Editors and Affiliations

  • Department of Mathematics, Weizmann Institute, Rehovot, Israel

    Anthony Joseph

  • Department of Mathematics, Univeristy of Haifa, Haifa, Israel

    Anna Melnikov

  • School of Engineering and Science, Jacobs University, Bremen, Germany

    Ivan Penkov

Bibliographic Information

Buy it now

Buying options

eBook USD 84.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Hardcover Book USD 109.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access