Skip to main content
SpringerLink
Log in

Representation Theories and Algebraic Geometry

  • Book
  • © 1998

Overview

Editors:
  1. Abraham Broer

    1. Department of Mathematics and Statistics, University of Montreal, Montreal, Canada

    View editor publications

    You can also search for this editor in PubMed   Google Scholar

  2. A. Daigneault

    1. Department of Mathematics and Statistics, University of Montreal, Montreal, Canada

    View editor publications

    You can also search for this editor in PubMed   Google Scholar

  3. Gert Sabidussi

    1. Department of Mathematics and Statistics, University of Montreal, Montreal, Canada

    View editor publications

    You can also search for this editor in PubMed   Google Scholar

Part of the book series: Nato Science Series C: (ASIC, volume 514)

This is a preview of subscription content, log in via an institution to check access.

Access this book

Log in via an institution
eBook USD 169.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 219.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 219.99
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

Licence this eBook for your library

Institutional subscriptions

Table of contents (11 chapters)

  1. Front Matter

    Pages i-xxii
    Download chapter PDF

  2. Equivariant cohomology and equivariant intersection theory

    • Michel Brion
    Pages 1-37

  3. Lectures on decomposition classes

    • Abraham Broer
    Pages 39-83

  4. Instantons and Kähler geometry of nilpotent orbits

    • Ranee Brylinski
    Pages 85-125

  5. Geometric methods in the representation theory of Hecke algebras and quantum groups

    • Victor Ginzburg
    Pages 127-183

  6. Representations of Lie algebras in prime characteristic

    • Jens Carsten Jantzen
    Pages 185-235

  7. Sur l’annulateur d’un module de Verma

    • Anthony Joseph
    Pages 237-300

  8. Some remarks on multiplicity free spaces

    • Friedrich Knop
    Pages 301-317

  9. Standard Monomial Theory and applications

    • Venkatramani Lakshmibai, Peter Littelmann, Peter Magyar
    Pages 319-364

  10. Canonical bases and Hall algebras

    • George Lusztig
    Pages 365-399

  11. Combinatorics of Harish-Chandra modules

    • Wolfgang Soergel
    Pages 401-412

  12. Schubert varieties and generalizations

    • Tonny A. Springer
    Pages 413-440

  13. Back Matter

    Pages 441-443
    Download chapter PDF
Back to top

Keywords

About this book

The 12 lectures presented in Representation Theories and Algebraic Geometry focus on the very rich and powerful interplay between algebraic geometry and the representation theories of various modern mathematical structures, such as reductive groups, quantum groups, Hecke algebras, restricted Lie algebras, and their companions. This interplay has been extensively exploited during recent years, resulting in great progress in these representation theories. Conversely, a great stimulus has been given to the development of such geometric theories as D-modules, perverse sheafs and equivariant intersection cohomology.
The range of topics covered is wide, from equivariant Chow groups, decomposition classes and Schubert varieties, multiplicity free actions, convolution algebras, standard monomial theory, and canonical bases, to annihilators of quantum Verma modules, modular representation theory of Lie algebras and combinatorics of representation categories of Harish-Chandra modules.

Editors and Affiliations

  • Department of Mathematics and Statistics, University of Montreal, Montreal, Canada

    Abraham Broer, A. Daigneault, Gert Sabidussi

Bibliographic Information

Publish with us

Policies and ethics

Back to top

Search

Navigation