Group and group representation

Kiyohiro Ikeda, Kazuo Murota

Research output: Chapter in Book/Report/Conference proceedingChapter

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.

Original languageEnglish
Title of host publicationApplied Mathematical Sciences (Switzerland)
PublisherSpringer
Pages167-200
Number of pages34
DOIs
Publication statusPublished - 2019

Publication series

NameApplied Mathematical Sciences (Switzerland)
Volume149
ISSN (Print)0066-5452
ISSN (Electronic)2196-968X

Keywords

  • Block-diagonalization
  • Cyclic group
  • Dihedral group
  • Group
  • Group representation
  • Irreducible representation
  • Symmetry

ASJC Scopus subject areas

  • Applied Mathematics

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