World Scientific Publishing Company World Scientific Theory Of Groups And Symmetries Book

Expand your mathematical knowledge with Theory Of Groups And Symmetries: Representations Of Groups And Lie Algebras, Applications. Published by World Scientific Publishing Company, this text serves as a direct sequel to the authors' previous work on Finite Groups, Lie Groups, and Lie Algebras. This volume provides a structured approach to advanced algebraic concepts. It starts with Dirac notation, providing clear illustrations through boson and fermion oscillator algebras and Grassmann algebra. Readers can expect a detailed account of finite-dimensional representations for the groups SL(2, C) and SU(2), along with their corresponding Lie algebras. The book covers the general theory of finite-dimensional irreducible representations of simple Lie algebras. It achieves this through the construction of highest weight representations and provides the classification of all finite categories. This text is designed for those seeking a deep understanding of group theory and its applications in mathematical physics and algebra.