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Lectures On Lie Groups

(Autor)

Buch | Softcover
114 Seiten
2000
World Scientific Publishing Co Pte Ltd (Verlag)
978-981-02-3529-1 (ISBN)
28,65 inkl. MwSt
An introduction to the theory of compact connected Lie groups and their representations, and a presentation of the structure and classification theory. It uses a non-traditional approach and organization. There is a balance between the algebraic and geometric aspects of Lie theory.
This invaluable book provides a concise and systematic introduction to the theory of compact connected Lie groups and their representations, as well as a complete presentation of the structure and classification theory. It uses a non-traditional approach and organization. There is a proper balance between, and a natural combination of, the algebraic and geometric aspects of Lie theory, not only in technical proofs but also in conceptual viewpoints. For example, the orbital geometry of adjoint action, is regarded as the geometric organization of the totality of non-commutativity of a given compact connected Lie group, while the maximal tori theorem of É. Cartan and the Weyl reduction of the adjoint action on G to the Weyl group action on a chosen maximal torus are presented as the key results that provide a clear-cut understanding of the orbital geometry.

Linear groups and linear representations; Lie groups and Lie algebras; orbital geometry of the adjoint action; coxeter groups, Weyl reduction and Weyl formulas; structural theory of compact Lie algebras and compact connected Lie groups.

Reihe/Serie Series On University Mathematics ; 2
Verlagsort Singapore
Sprache englisch
Themenwelt Mathematik / Informatik Mathematik Algebra
Mathematik / Informatik Mathematik Arithmetik / Zahlentheorie
ISBN-10 981-02-3529-1 / 9810235291
ISBN-13 978-981-02-3529-1 / 9789810235291
Zustand Neuware
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