↓ Skip to main content

Lie Groups

Overview of attention for book
Cover of 'Lie Groups'

Table of Contents

  1. Altmetric Badge
    Book Overview
  2. Altmetric Badge
    Chapter 1 Haar Measure
  3. Altmetric Badge
    Chapter 2 Schur Orthogonality
  4. Altmetric Badge
    Chapter 3 Compact Operators
  5. Altmetric Badge
    Chapter 4 The Peter-Weyl Theorem
  6. Altmetric Badge
    Chapter 5 Lie Subgroups of GL( n , ℂ)
  7. Altmetric Badge
    Chapter 6 Vector Fields
  8. Altmetric Badge
    Chapter 7 Left-Invariant Vector Fields
  9. Altmetric Badge
    Chapter 8 The Exponential Map
  10. Altmetric Badge
    Chapter 9 Tensors and Universal Properties
  11. Altmetric Badge
    Chapter 10 The Universal Enveloping Algebra
  12. Altmetric Badge
    Chapter 11 Extension of Scalars
  13. Altmetric Badge
    Chapter 12 Representations of sl (2, ℂ)
  14. Altmetric Badge
    Chapter 13 The Universal Cover
  15. Altmetric Badge
    Chapter 14 The Local Frobenius Theorem
  16. Altmetric Badge
    Chapter 15 Tori
  17. Altmetric Badge
    Chapter 16 Geodesics and Maximal Tori
  18. Altmetric Badge
    Chapter 17 Topological Proof of Cartan’s Theorem
  19. Altmetric Badge
    Chapter 18 The Weyl Integration Formula
  20. Altmetric Badge
    Chapter 19 The Root System
  21. Altmetric Badge
    Chapter 20 Examples of Root Systems
  22. Altmetric Badge
    Chapter 21 Abstract Weyl Groups
  23. Altmetric Badge
    Chapter 22 The Fundamental Group
  24. Altmetric Badge
    Chapter 23 Semisimple Compact Groups
  25. Altmetric Badge
    Chapter 24 Highest-Weight Vectors
  26. Altmetric Badge
    Chapter 25 The Weyl Character Formula
  27. Altmetric Badge
    Chapter 26 Spin
  28. Altmetric Badge
    Chapter 27 Complexification
  29. Altmetric Badge
    Chapter 28 Coxeter Groups
  30. Altmetric Badge
    Chapter 29 The Iwasawa Decomposition
  31. Altmetric Badge
    Chapter 30 The Bruhat Decomposition
  32. Altmetric Badge
    Chapter 31 Symmetric Spaces
  33. Altmetric Badge
    Chapter 32 Relative Root Systems
  34. Altmetric Badge
    Chapter 33 Embeddings of Lie Groups
  35. Altmetric Badge
    Chapter 34 Mackey Theory
  36. Altmetric Badge
    Chapter 35 Characters of GL( n , ℂ)
  37. Altmetric Badge
    Chapter 36 Duality between S k and GL( n , ℂ)
  38. Altmetric Badge
    Chapter 37 The Jacobi-Trudi Identity
  39. Altmetric Badge
    Chapter 38 Schur Polynomials and GL( n , ℂ)
  40. Altmetric Badge
    Chapter 39 Schur Polynomials and S k
  41. Altmetric Badge
    Chapter 40 Random Matrix Theory
  42. Altmetric Badge
    Chapter 41 Minors of Toeplitz Matrices
  43. Altmetric Badge
    Chapter 42 Branching Formulae and Tableaux
  44. Altmetric Badge
    Chapter 43 The Cauchy Identity
  45. Altmetric Badge
    Chapter 44 Unitary Branching Rules
  46. Altmetric Badge
    Chapter 45 The Involution Model for S k
  47. Altmetric Badge
    Chapter 46 Some Symmetric Algebras
  48. Altmetric Badge
    Chapter 47 Gelfand Pairs
  49. Altmetric Badge
    Chapter 48 Hecke Algebras
  50. Altmetric Badge
    Chapter 49 The Philosophy of Cusp Forms
  51. Altmetric Badge
    Chapter 50 Cohomology of Grassmannians
Overall attention for this book and its chapters
Altmetric Badge

Mentioned by

twitter
13 X users

Readers on

mendeley
1 Mendeley
You are seeing a free-to-access but limited selection of the activity Altmetric has collected about this research output. Click here to find out more.
Title
Lie Groups
Published by
Springer New York, January 2004
DOI 10.1007/978-1-4757-4094-3
ISBNs
978-1-4419-1937-3, 978-1-4757-4094-3
Authors

Daniel Bump, Bump, Daniel

X Demographics

X Demographics

The data shown below were collected from the profiles of 13 X users who shared this research output. Click here to find out more about how the information was compiled.