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Theory Of Groups And Symmetries: Finite Groups, Lie Groups, And Lie Algebras (Hardcover)
Loot Price: R4,676
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Theory Of Groups And Symmetries: Finite Groups, Lie Groups, And Lie Algebras (Hardcover)
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The book presents the main approaches in study of algebraic
structures of symmetries in models of theoretical and mathematical
physics, namely groups and Lie algebras and their deformations. It
covers the commonly encountered quantum groups (including
Yangians). The second main goal of the book is to present a
differential geometry of coset spaces that is actively used in
investigations of models of quantum field theory, gravity and
statistical physics. The third goal is to explain the main ideas
about the theory of conformal symmetries, which is the basis of the
AdS/CFT correspondence.The theory of groups and symmetries is an
important part of theoretical physics. In elementary particle
physics, cosmology and related fields, the key role is played by
Lie groups and algebras corresponding to continuous symmetries. For
example, relativistic physics is based on the Lorentz and Poincare
groups, and the modern theory of elementary particles — the
Standard Model — is based on gauge (local) symmetry with the
gauge group SU(3) x SU(2) x U(1). This book presents constructions
and results of a general nature, along with numerous concrete
examples that have direct applications in modern theoretical and
mathematical physics.
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