Tatsuo Kobayashi - An Introduction to Non-Abelian Discrete Symmetries for Particle Physicists (Lecture Notes in Physics, 995)

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Non-Abelian discrete groups are quite useful tools in particle physics. The purpose of the first edition was to introduce non-Abelian discrete symmetries for particle physicists, and to present important application in particle physics. After the first edition, lots of new applications of non-Abelian discrete groups have been studied in particle physics, e.g. generalized CP and modular flavor symmetries. To meet these developments, we have added Chap. on finite subgroups of continuous groups.

We hope that the second edition with these additional chapters could be very useful for researchers in these subjects.

It is pleasure to acknowledge fruitful discussions with Hiroyuki Abe, Takeshi Araki, Gustavo C. Branco, Mu-Chun Chen, Kang-Sin Choi, Kenji Hashimoto, Yasuhiro Daikoku, Gui-jun Ding, Ferruccio Feruglio, Walter Grimus, Martin K. Hirsch, Gino Isidori, Hajime Ishimori, Shota Kikuchi, Stephen F. King, Jiske Kubo, Manfred Lindner, Ernest Ma, Hans P. Nilles, Takaaki Nomura, Pavel Novichkov, Yuta Orikasa, Hajime Otsuka, Joo T. Penedo, Serguey T. Petcov, Felix Ploger, Stuart A. Raby, Saul Ramos-Sanchez, Michael Ratz, M. Nesbitt Rebelo, Werner Rodejohann, Takashi Shimomura, Takuya H. Tatsuishi, Kenta Takagi, Arsenii V. Titov, Andreas Trautner, Hikaru Uchida, Shohei Uemura, Jose W. F. Valle, Patrick K. S. Vaudrevange, Takahiro Yoshida, and Shun Zhou.

The purpose of the lecture notes is to introduce the basic framework of the non-Abelian Discrete Symmetries, and to present some important application in Particle Physics. Non-Abelian discrete groups have been playing an important role in particle physics. However, those may not be familiar to all of particle physicists compared with non-Abelian continuous symmetries. Therefore, the lecture notes are written for particle physicists. In this respect, it is different from the standard books of the group theory. However, preliminary knowledge of the group theory is not required in advance to understand the non-Abelian Discrete Symmetries.

We hope that our lecture notes could play a crucial role as a handbook in serious learners, and also as a helpful reference textbook in experts in addition to providing triggers for subject of researches.