An Introduction to Non-Abelian Discrete Symmetries for Particle Physicists by Hajime Ishimori Tatsuo Kobayashi Hiroshi Ohki Hiroshi Okada Yusuke Shimizu & Morimitsu Tanimoto

Author:Hajime Ishimori, Tatsuo Kobayashi, Hiroshi Ohki, Hiroshi Okada, Yusuke Shimizu & Morimitsu Tanimoto
Language: eng
Format: epub
Publisher: Springer Berlin Heidelberg, Berlin, Heidelberg

3

3

3′

3

4

1+3

5

1′+1″+3

A 5

D 5

1

1 +

3

1 −+2 1

3′

1 −+2 2

4

2 1+2 2

5

1 ++2 1+2 2

A 5

D 3

1

1 +

3

1 −+2

3′

1 −+2

4

1 ++1 −+2

5

1 ++2+2

14.4.1 A 5→A 4

The subgroup A 4 has elements , where . We denote and . These satisfy the relations

(14.10)

and correspond to the generators s and t of the group A 4 in Sect. 4.1. The representations 1, 3, 3′, 4, and 5 of A 5 decompose to 1, 3, 3, 1+3, and 1′+1″+3, respectively.

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