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Lie Groups

An Approach through Invariants and Representations

  • Claudio Procesi

Part of the Universitext book series (UTX)

Table of contents

  1. Front Matter
    Pages i-xxiii
  2. Pages 19-36
  3. Pages 101-143
  4. Pages 145-165
  5. Pages 167-193
  6. Pages 195-239
  7. Pages 241-292
  8. Pages 385-473
  9. Pages 475-498
  10. Pages 499-551
  11. Pages 553-562
  12. Pages 563-581
  13. Back Matter
    Pages 583-596

About this book

Introduction

Lie groups has been an increasing area of focus and rich research since the middle of the 20th century. Procesi's masterful approach to Lie groups through invariants and representations gives the reader a comprehensive treatment of the classical groups along with an extensive introduction to a wide range of topics associated with Lie groups: symmetric functions, theory of algebraic forms, Lie algebras, tensor algebra and symmetry, semisimple Lie algebras, algebraic groups, group representations, invariants, Hilbert theory, and binary forms with fields ranging from pure algebra to functional analysis.

Key to this unique exposition is the large amount of background material presented so the book is accessible to a reader with relatively modest mathematical background. Historical information, examples, exercises are all woven into the text.

Lie Groups: An Approach through Invariants and Representations will engage a broad audience, including advanced undergraduates, graduates, mathematicians in a variety of areas from pure algebra to functional analysis and mathematical physics.

Keywords

Group representation algebra algebraic group functional analysis lie algebra lie group

Authors and affiliations

  • Claudio Procesi
    • 1
  1. 1.Dipartimento di Matematica “G. Castelnouvo”Università di Roma “La Sapienza”RomeItaly

Bibliographic information