具體描述
Lie groups has been an increasing area of focus and rich research since the middle of the 20th century. In Lie Groups: An Approach through Invariants and Representations, the author's masterful approach gives the reader a comprehensive treatment of the classical Lie groups along with an extensive introduction to a wide range of topics associated with Lie groups: symmetric functions, theory of algebraic forms, Lie algebras, tensor algebra and symmetry, semisimple Lie algebras, algebraic groups, group representations, invariants, Hilbert theory, and binary forms with fields ranging from pure algebra to functional analysis. By covering sufficient background material, the book is made accessible to a reader with a relatively modest mathematical background. Historical information, examples, exercises are all woven into the text. This unique exposition is suitable for a broad audience, including advanced undergraduates, graduates, mathematicians in a variety of areas from pure algebra to functional analysis and mathematical physics.
著者簡介
圖書目錄
Symmetric Functions
Theory of Algebraic Forms
Lie Algebras and lie Groups
Tensor Algebra
Semisimple Algebras
Algebraic Groups
Group Representations
Tensor Symmetry
Semisimple Lie Groups and Algebras
Invariants
Tableaux
Standard Monomials
Hilbert Theory
Binary Forms
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