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An introduction to Lie groups and Li...

Kirillov, Alexander A., (1967-)

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An introduction to Lie groups and Lie algebras

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	An introduction to Lie groups and Lie algebras/ Alexander Kirillov, Jr.
其他題名:	An Introduction to Lie Groups & Lie Algebras
作者:	Kirillov, Alexander A.,
出版者:	Cambridge :Cambridge University Press, : 2008.,
面頁冊數:	ix, 222 p. :ill., digital ;24 cm.
附註:	Title from publisher's bibliographic system (viewed on 05 Oct 2015).
內容註:	Introduction -- Lie groups: basic definitions -- Lie groups and Lie algebras -- Representation of Lie groups and Lie algebras -- Structure theory of Lie algebras -- Complex semisimple Lie algebras -- Root systems -- Representation of semisimple Lie algebras -- Overview of the literature -- Appendix A: Root systems and simple Lie algebras -- Appendix B: Sample syllabus -- List of notation.
標題:	Lie groups. -
電子資源:	https://doi.org/10.1017/CBO9780511755156
ISBN:	9780511755156

An introduction to Lie groups and Lie algebras
Kirillov, Alexander A.,1967-

An introduction to Lie groups and Lie algebras[electronic resource] /An Introduction to Lie Groups & Lie AlgebrasAlexander Kirillov, Jr. - Cambridge :Cambridge University Press,2008. - ix, 222 p. :ill., digital ;24 cm. - Cambridge studies in advanced mathematics ;113. - Cambridge studies in advanced mathematics ;113..

Title from publisher's bibliographic system (viewed on 05 Oct 2015).

Introduction -- Lie groups: basic definitions -- Lie groups and Lie algebras -- Representation of Lie groups and Lie algebras -- Structure theory of Lie algebras -- Complex semisimple Lie algebras -- Root systems -- Representation of semisimple Lie algebras -- Overview of the literature -- Appendix A: Root systems and simple Lie algebras -- Appendix B: Sample syllabus -- List of notation.

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 at Stony Brook, the book includes numerous exercises and worked examples and is ideal for graduate courses on Lie groups and Lie algebras.

ISBN: 9780511755156Subjects--Topical Terms:

526114
Lie groups.

LC Class. No.: QA387 / .K486 2008

Dewey Class. No.: 512.482

An introduction to Lie groups and Lie algebras
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500 $a Title from publisher's bibliographic system (viewed on 05 Oct 2015).
505 0 $a Introduction -- Lie groups: basic definitions -- Lie groups and Lie algebras -- Representation of Lie groups and Lie algebras -- Structure theory of Lie algebras -- Complex semisimple Lie algebras -- Root systems -- Representation of semisimple Lie algebras -- Overview of the literature -- Appendix A: Root systems and simple Lie algebras -- Appendix B: Sample syllabus -- List of notation.
520 $a 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 at Stony Brook, the book includes numerous exercises and worked examples and is ideal for graduate courses on Lie groups and Lie algebras.
650 0 $a Lie groups. $3 526114
650 0 $a Lie algebras. $3 526115
830 0 $a Cambridge studies in advanced mathematics ; $v 113. $3 3470488
856 4 0 $u https://doi.org/10.1017/CBO9780511755156