000 02682nam a22003858i 4500
001 CR9780511755156
003 UkCbUP
005 20200124160219.0
006 m|||||o||d||||||||
007 cr||||||||||||
008 100422s2008||||enk o ||1 0|eng|d
020 _a9780511755156 (ebook)
020 _z9780521889698 (hardback)
020 _z9781107471887 (paperback)
040 _aUkCbUP
_beng
_erda
_cUkCbUP
050 0 0 _aQA387
_b.K486 2008
082 0 0 _a512/.482
_222
100 1 _aKirillov, Alexander A.,
_d1967-
_eauthor.
245 1 3 _aAn introduction to Lie groups and Lie algebras /
_cAlexander Kirillov, Jr.
246 3 _aAn Introduction to Lie Groups & Lie Algebras
264 1 _aCambridge :
_bCambridge University Press,
_c2008.
300 _a1 online resource (ix, 222 pages) :
_bdigital, PDF file(s).
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
490 1 _aCambridge studies in advanced mathematics ;
_v113
500 _aTitle from publisher's bibliographic system (viewed on 05 Oct 2015).
505 0 _aIntroduction -- 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 _aWith 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 _aLie groups.
650 0 _aLie algebras.
776 0 8 _iPrint version:
_z9780521889698
830 0 _aCambridge studies in advanced mathematics ;
_v113.
856 4 0 _uhttps://doi.org/10.1017/CBO9780511755156
999 _c516569
_d516567