Lie Groups: An Approach through Invariants and Representations

by Claudio Procesi

Lie groups has been an increasing area of focus and rich research since the middle of the 20th century. In Lie 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 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.

628 pages, Paperback

First published October 12, 2006

Reviews

[The Architect]

discriminants, resultants, Bézoutiants