Groups and symmetries : from finite groups to Lie groups
Author(s)
Bibliographic Information
Groups and symmetries : from finite groups to Lie groups
(Universitext)
Springer, c2022
2nd ed
- : [pbk.]
- Other Title
-
Groupes et symétries: groupes finis, groupes et algèbres de Lie, représentations
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Note
Includes bibliographical references (p. 241-245) and index
Description and Table of Contents
Description
- Combines material from many areas of mathematics, including algebra, geometry, and analysis, so students see connections between these areas
- Applies material to physics so students appreciate the applications of abstract mathematics
- Assumes only linear algebra and calculus, making an advanced subject accessible to undergraduates
- Includes 142 exercises, many with hints or complete solutions, so text may be used in the classroom or for self study
Table of Contents
Introduction.- 1. General Facts About Groups.- 2. Representations of Finite Groups.- 3. Representations of Compact Groups.- 4. Lie Groups and Lie Algebras.- 5. Lie Groups SU(2) and SO(3).- 6. Representations of SU(2) and SO(3).- 7. Spherical Harmonics.- 8. Representations of SU(3) and Quarks.- 9. Spin Groups and Spinors.- Problems and Solutions.- Endnote.- Bibliography.-Index.
by "Nielsen BookData"