000 00390nam a2200145Ia 4500
999 _c1539
_d1539
003 OSt
005 20210825111256.0
008 210730s9999 xx 000 0 und d
020 _a9789813273603
040 _cIISER Bpr
082 _a530.1522
_bSTU
100 _aRutwig Campoamor-Stursberg
245 _aGroup theory in physics: a practitioner's guide
_cRutwig Campoamor-Stursberg and Michel Rausch de Traubenberg
260 _bWorld Scientific
500 _aThis book presents the study of symmetry groups in Physics from a practical perspective, i.e. emphasising the explicit methods and algorithms useful for the practitioner and profusely illustrating by examples. The first half reviews the algebraic, geometrical and topological notions underlying the theory of Lie groups, with a review of the representation theory of finite groups. The topic of Lie algebras is revisited from the perspective of realizations, useful for explicit computations within these groups. The second half is devoted to applications in physics, divided into three main parts — the first deals with space-time symmetries, the Wigner method for representations and applications to relativistic wave equations. The study of kinematical algebras and groups illustrates the properties and capabilities of the notions of contractions, central extensions and projective representations. Gauge symmetries and symmetries in Particle Physics are studied in the context of the Standard Model, finishing with a discussion on Grand-Unified Theories.
650 _aGroup theory
650 _aMathematical physics
650 _aParticles (Nuclear physics)
700 _aTraubenberg, Michel Rausch de
942 _cBK
_2ddc