Lie Groups

An Approach through Invariants and Representations

Claudio Procesi - Collection Universitext

600 pages, parution le 28/02/2006

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Résumé

Lie groups has been an increasing area of focus and rich research since the middle of the 20th century. Procesi's masterful approach to Lie groups through invariants and representations gives the reader a comprehensive treatment of the classical 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.

Key to this unique exposition is the large amount of background material presented so the book is accessible to a reader with relatively modest mathematical background. Historical information, examples, exercises are all woven into the text.

Lie Groups: An Approach through Invariants and Representations will engage a broad audience, including advanced undergraduates, graduates, mathematicians in a variety of areas from pure algebra to functional analysis and mathematical physics.

Written for:

Advanced undergraduates, graduates, researchers in mathematics and physics

Sommaire

Introduction
Conventional Notations
General Methods and Ideas
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
Bibliography
Index of Symbols
Index of References

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Caractéristiques techniques

	PAPIER
Éditeur(s)	Springer
Auteur(s)	Claudio Procesi
Collection	Universitext
Parution	28/02/2006
Nb. de pages	600
Couverture	Relié
Intérieur	Noir et Blanc
EAN13	9780387260402
ISBN13	978-0-387-26040-2