Dirac Operators in Representation Theory

Authors:

ISBN: 978-0-8176-3218-2 (Print) 978-0-8176-4493-2 (Online)

Table of contents (10 chapters)

  1. Front Matter

    Pages i-xi

  2. No Access

    Chapter

    Pages 1-32

    Lie Groups, Lie Algebras and Representations

  3. No Access

    Chapter

    Pages 33-55

    Clifford Algebras and Spinors

  4. No Access

    Chapter

    Pages 57-72

    Dirac Operators in the Algebraic Setting

  5. No Access

    Chapter

    Pages 73-83

    A Generalized Bott-Borel-Weil Theorem

  6. No Access

    Chapter

    Pages 85-113

    Cohomological Induction

  7. No Access

    Chapter

    Pages 115-132

    Properties of Cohomologically Induced Modules

  8. No Access

    Chapter

    Pages 133-144

    Discrete Series

  9. No Access

    Chapter

    Pages 145-151

    Dimensions of Spaces of Automorphic Forms

  10. No Access

    Chapter

    Pages 153-176

    Dirac Operators and Nilpotent Lie Algebra Cohomology

  11. No Access

    Chapter

    Pages 177-191

    Dirac Cohomology for Lie Superalgebras

  12. Back Matter

    Pages 193-199