Groups and symmetries : from finite groups to Lie groups
著者
書誌事項
Groups and symmetries : from finite groups to Lie groups
(Universitext)
Springer, c2022
2nd ed
- : [pbk.]
- タイトル別名
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Groupes et symétries: groupes finis, groupes et algèbres de Lie, représentations
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注記
Includes bibliographical references (p. 241-245) and index
内容説明・目次
内容説明
- 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
目次
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.
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