Lie Groups

An Approach through Invariants and Representations

(Autor)

Buch | Softcover
604 Seiten
2006
Springer-Verlag New York Inc.
978-0-387-26040-2 (ISBN)

Lese- und Medienproben

Lie Groups - Claudio Procesi
80,24 inkl. MwSt
Lie groups has been an increasing area of focus and research since the middle of the 20th century. This title gives the reader a comprehensive treatment of the classical Lie groups along with an introduction to a range of topics associated with Lie groups such as: symmetric functions, theory of algebraic forms, Lie algebras, and more.
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.

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.

Reihe/Serie Universitext
Zusatzinfo XXIV, 604 p.
Verlagsort New York, NY
Sprache englisch
Maße 155 x 235 mm
Themenwelt Mathematik / Informatik Mathematik Algebra
Mathematik / Informatik Mathematik Analysis
ISBN-10 0-387-26040-4 / 0387260404
ISBN-13 978-0-387-26040-2 / 9780387260402
Zustand Neuware
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