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An Introduction to Lie Groups and Lie Algebras - Jr Kirillov  Alexander  Jr

An Introduction to Lie Groups and Lie Algebras

Buch | Softcover
234 Seiten
2017
Cambridge University Press (Verlag)
978-1-316-61410-5 (ISBN)
CHF 64,55 inkl. MwSt
This graduate text focuses on the study of semisimple Lie algebras, developing the necessary theory along the way. Written in an informal style, this is a contemporary introduction to the subject. With numerous exercises and worked examples, it is ideal for graduate courses on Lie groups and Lie algebras.
With roots in the nineteenth century, Lie theory has since found many and varied applications in mathematics and mathematical physics, to the point where it is now regarded as a classical branch of mathematics in its own right. This graduate text focuses on the study of semisimple Lie algebras, developing the necessary theory along the way. The material covered ranges from basic definitions of Lie groups to the classification of finite-dimensional representations of semisimple Lie algebras. Written in an informal style, this is a contemporary introduction to the subject which emphasizes the main concepts of the proofs and outlines the necessary technical details, allowing the material to be conveyed concisely. Based on a lecture course given by the author at the State University of New York, Stony Brook, the book includes numerous exercises and worked examples, and is ideal for graduate courses on Lie groups and Lie algebras.

Alexander Kirillov, Jr, is an Associate Professor in the Mathematics Department, State University of New York, Stony Brook. His research interests are representation theory, Lie algebras, quantum groups, affine Lie algebras and conformal field theory.

Preface; 1. Introduction; 2. Lie groups: basic definitions; 3. Lie groups and Lie algebras; 4. Representations of Lie groups and Lie algebras; 5. Structure theory of Lie algebras; 6. Complex semisimple Lie algebras; 7. Root systems; 8. Representations of semisimple Lie Algebras; Overview of the literature; A. Root systems and simple Lie algebras; B. Sample syllabus; List of notation; Index; Bibliography.

Erscheinungsdatum
Reihe/Serie Cambridge Studies in Advanced Mathematics
Verlagsort Cambridge
Sprache englisch
Maße 153 x 230 mm
Gewicht 360 g
Themenwelt Mathematik / Informatik Mathematik Algebra
ISBN-10 1-316-61410-7 / 1316614107
ISBN-13 978-1-316-61410-5 / 9781316614105
Zustand Neuware
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