Introduction to group theory

Benjamin Canals (1) , H. Schober (2)

1 NEEL - TMC - Théorie de la Matière Condensée
2 ILL - Institut Laue-Langevin

This chapter is a concise mathematical introduction into the algebra of groups. It is build up in the way that definitions are followed by propositions and proofs. The concepts and the terminology introduced here will serve as a basis for the following chapters that deal with group theory in the stricter sense and its application to problems in physics. The mathematical prerequisites are at the bachelor level.

Domaines: Electrons fortement corrélés [cond-mat.str-el]

Benjamin Canals, H. Schober. Introduction to group theory. CONTRIBUTION OF SYMMETRIES IN CONDENSED MATTER, EDP Sciences, pp.00004, 2012, ⟨10.1051/EPJCONF/20122200004⟩. ⟨hal-00992820⟩