@inbook{d2da28d306f7458b8c9f988c79886b26,
title = "Group and group representation",
abstract = "Fundamentals of group and group representation are introduced as a foundation of group-theoretic bifurcation theory to be presented in Chap. 8. We advance a series of mathematical concepts and tools, including groups, linear representations of groups, and block-diagonalization. This chapter is a prerequisite to the remainder of this book that deals with bifurcation of symmetric systems labeled by various kinds of groups.",
keywords = "Block-diagonalization, Cyclic group, Dihedral group, Group, Group representation, Irreducible representation, Symmetry",
author = "Kiyohiro Ikeda and Kazuo Murota",
note = "Publisher Copyright: {\textcopyright} Springer Nature Switzerland AG 2019.",
year = "2019",
doi = "10.1007/978-3-030-21473-9_7",
language = "English",
series = "Applied Mathematical Sciences (Switzerland)",
publisher = "Springer",
pages = "167--200",
booktitle = "Applied Mathematical Sciences (Switzerland)",
}