Lie Groups, Lie Algebras, and Some of Their Applications (eBook)

by (Author)

  • 97,508 Words
  • 608 Pages

Lie group theory plays an increasingly important role in modern physical theories. Many of its calculations remain fundamentally unchanged from one field of physics to another, altering only in terms of symbols and the language. Using the theory of Lie groups as a unifying vehicle, concepts and results from several fields of physics can be expressed in an extremely economical way. With rigor and clarity, this text introduces upper-level undergraduate students to Lie group theory and its physical applications.
An opening discussion of introductory concepts leads to explorations of the classical groups, continuous groups and Lie groups, and Lie groups and Lie algebras. Some simple but illuminating examples are followed by examinations of classical algebras, Lie algebras and root spaces, root spaces and Dynkin diagrams, real forms, and contractions and expansions. Reinforced by numerous exercises, solved problems, and figures, the text concludes with a bibliography and indexes.

Lie group theory plays an increasingly important role in modern physical theories. Many of its calculations remain fundamentally unchanged from one field of physics to another, altering only in terms of symbols and the language. Using the theory of Lie groups as a unifying vehicle, concepts and results from several fields of physics can be expressed in an extremely economical way. With rigor and clarity, this text introduces upper-level undergraduate students to Lie group theory and its physical applications.
An opening discussion of introductory concepts leads to explorations of the classical groups, continuous groups and Lie groups, and Lie groups and Lie algebras. Some simple but illuminating examples are followed by examinations of classical algebras, Lie algebras and root spaces, root spaces and Dynkin diagrams, real forms, and contractions and expansions. Reinforced by numerous exercises, solved problems, and figures, the text concludes with a bibliography and indexes.


  • 0
    0
  • 1
    1
  • 2
    2
  • 3
    3
  • 4
    4
  • 5
    5
  • 6
    6
  • 7
    7
  • 8
    8
  • 9
    9
  • 0
    0
  • 1
    1
  • 2
    2
  • 3
    3
  • 4
    4
  • 5
    5
  • 6
    6
  • 7
    7
  • 8
    8
  • 9
    9
  • 0
    0
  • 1
    1
  • 2
    2
  • 3
    3
  • 4
    4
  • 5
    5
  • 6
    6
  • 7
    7
  • 8
    8
  • 9
    9
:
  • 0
    0
  • 1
    1
  • 2
    2
  • 3
    3
  • 4
    4
  • 5
    5
  • 6
    6
  • 7
    7
  • 8
    8
  • 9
    9
  • 0
    0
  • 1
    1
  • 2
    2
  • 3
    3
  • 4
    4
  • 5
    5
  • 6
    6
  • 7
    7
  • 8
    8
  • 9
    9
:
  • 0
    0
  • 1
    1
  • 2
    2
  • 3
    3
  • 4
    4
  • 5
    5
  • 6
    6
  • 7
    7
  • 8
    8
  • 9
    9
  • 0
    0
  • 1
    1
  • 2
    2
  • 3
    3
  • 4
    4
  • 5
    5
  • 6
    6
  • 7
    7
  • 8
    8
  • 9
    9
Average Reading Time Login to Personalize
  • Released:
  • Categories: Education
  • Language: English
  • Publisher: Dover Publications
  • ISBN-10: 0486131564
  • ISBN-13: 9780486131566
Retail Price:
$29.95
BookShout Price:
$29.95

Format:



Lie Groups, Lie Algebras, and Some of Their Applications

No reviews were found. Please log in to write a review if you've read this book.

Item added to cart

9780486131566 bookshelf
Lie Groups, Lie Algebr...
$29.95
QTY: 1

9780486131566 bookshelf

Write a Review for Lie Groups, Lie Algebras, and Some of Their Applications

by Robert Gilmore

Average Rating:
×

Lie Groups, Lie Algebras, and Some of Their Applications has been added

Lie Groups, Lie Algebras, and Some of Their Applications has been added to your wish list.

Ok