Groups and symmetries : from finite groups to Lie groups

著者

• Kosmann-Schwarzbach, Yvette
• Singer, Stephanie Frank

書誌事項

Groups and symmetries : from finite groups to Lie groups

Yvette Kosmann-Schwarzbach ; translated by Stephanie Frank Singer

（Universitext）

Springer, c2022

2nd ed

• : [pbk.]

タイトル別名

Groupes et symétries: groupes finis, groupes et algèbres de Lie, représentations

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.

「Nielsen BookData」 より

詳細情報

• NII書誌ID(NCID): BC16225438
• ISBN:
  • 9783030943592
• 出版国コード: sz
• タイトル言語コード: eng
• 本文言語コード: eng
• 原本言語コード: fre
• 出版地: Cham
• ページ数/冊数: xvii, 251 p.
• 大きさ: 24 cm
• 分類:
  • DC23 : 512
• 件名:
  • LCSH : Representations of groups
  • LCSH : Finite groups
  • LCSH : Lie groups
• 親書誌ID:
  • BA00021004