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Theory of Groups and Symmetries: Representations of Groups and Lie Algebras, Applications by Alexey P. Isaev, Valery A. Rubakov is a nonfiction available to read on EtoBox.

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Main subject categories: • Group theory • Symmetry ‒ Physics • Group algebras • Lie algebrasThis book is a sequel to the book by the same authors entitled Theory of Groups and Symmetries: Finite Groups, Lie Groups, and Lie Algebras.The presentation begins with the Dirac notation, which is illustrated by boson and fermion oscillator algebras and also Grassmann algebra. Then detailed account of finite-dimensional representations of groups SL(2, C) and SU(2) and their Lie algebras is presented. The general theory of finite-dimensional irreducible representations of simple Lie algebras based on the construction of highest weight representations is given. The classification of all finite-dimensional irreducible representations of the Lie algebras of the classical series sl(n, C), so(n, C) and sp(2r, C) is exposed.Finite-dimensional irreducible representations of linear groups SL(N, C) and their compact forms SU(N) are constructed on the basis of the Schur–Weyl duality. A special role here is played by the theory of representations of the symmetric group algebra C[Sr] (Schur–Frobenius theory, Okounkov–Vershik approach), based on combinatorics of Young diagrams and Young tableaux. Similar

Who reads Theory of Groups and Symmetries: Representations of Groups and Lie Algebras, Applications?

Author

Alexey P. Isaev, Valery A. Rubakov

Publisher

World Scientific, World Scientific Publishing Co. Pte. Ltd.

Published

2021

Language

EN

ISBN

9789811217425

Category

nonfiction

Subjects

Mathematics, Symmetry And Group, Stem