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Product Identifiers
PublisherDover Publications, Incorporated
ISBN-100486445291
ISBN-139780486445298
eBay Product ID (ePID)46884933
Product Key Features
Number of Pages608 Pages
Publication NameLie Groups, Lie Algebras, and Some of Their Applications
LanguageEnglish
Publication Year2006
SubjectGroup Theory, Algebra / Abstract, Algebra / General
TypeTextbook
Subject AreaMathematics
AuthorRobert Gilmore
SeriesDover Books on Mathematics Ser.
FormatPerfect
Dimensions
Item Height1.2 in
Item Weight24.9 Oz
Item Length8.5 in
Item Width5.5 in
Additional Product Features
Intended AudienceCollege Audience
LCCN2005-051787
Dewey Edition22
IllustratedYes
Dewey Decimal512/.482
Table Of Content1. Introductory Concepts 2. The Classical Groups 3. Continuous Groups--Lie Groups 4. Lie Groups and Lie Algebras 5. Some Simple Examples 6. Classical Algebras 7. Lie Algebras and Root Spaces 8. Root Spaces and Dynkin Diagrams 9. Root Forms 10. Contractions and Expansions Bibliography Author Index Subject Index
SynopsisWith rigor and clarity, this upper-level undergraduate text employs numerous exercises, solved problems, and figures to introduce upper-level undergraduates to Lie group theory and physical applications. It further illustrates Lie group theory's role in expressing concepts and results from several fields of physics. 1974 edtion. Includes 75 figures and 17 tables., With rigor and clarity, this upper-level undergraduate text employs numerous exercises, solved problems, and figures to introduce upper-level undergraduates to Lie group theory and physical applications. It further illustrates Lie group theory's role in expressing concepts and results from several fields of physics. 1974 edition. Includes 75 figures and 17 tables., 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.
LC Classification NumberQA387.G54 2005
