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Group Theory In Physics: A Practitioner's Guide (Paperback)
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Group Theory In Physics: A Practitioner's Guide (Paperback)
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'The book contains a lot of examples, a lot of non-standard
material which is not included in many other books. At the same
time the authors manage to avoid numerous cumbersome calculations
… It is a great achievement that the authors found a
balance.'zbMATHThis 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.
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