Groups and symmetries : from finite groups to Lie groups

Author(s)

• Kosmann-Schwarzbach, Yvette
• Singer, Stephanie Frank

Bibliographic Information

Groups and symmetries : from finite groups to Lie groups

Yvette Kosmann-Schwarzbach ; translated by Stephanie Frank Singer

（Universitext）

Springer, c2022

2nd ed

• : [pbk.]

Other Title

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

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"

Details

• NCID: BC16225438
• ISBN:
  • 9783030943592
• Country Code: sz
• Title Language Code: eng
• Text Language Code: eng
• Original Language Code: fre
• Place of Publication: Cham
• Pages/Volumes: xvii, 251 p.
• Size: 24 cm
• Classification:
  • DC23 : 512
• Subject Headings:
  • LCSH : Representations of groups
  • LCSH : Finite groups
  • LCSH : Lie groups
• Parent Bibliography ID:
  • BA00021004