LEADER 03511nam 22006972 450 001 9910453177203321 005 20151005020623.0 010 $a1-107-18764-8 010 $a1-316-61410-7 010 $a1-281-77569-X 010 $a9786611775698 010 $a0-511-42370-5 010 $a0-511-42253-9 010 $a0-511-42418-3 010 $a0-511-42187-7 010 $a0-511-75515-5 010 $a0-511-42319-5 035 $a(CKB)1000000000550576 035 $a(EBL)355469 035 $a(OCoLC)476178532 035 $a(SSID)ssj0000182679 035 $a(PQKBManifestationID)11156113 035 $a(PQKBTitleCode)TC0000182679 035 $a(PQKBWorkID)10171755 035 $a(PQKB)11024519 035 $a(UkCbUP)CR9780511755156 035 $a(MiAaPQ)EBC355469 035 $a(Au-PeEL)EBL355469 035 $a(CaPaEBR)ebr10246213 035 $a(CaONFJC)MIL177569 035 $a(EXLCZ)991000000000550576 100 $a20100422d2008|||| uy| 0 101 0 $aeng 135 $aur||||||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 13$aAn introduction to Lie groups and Lie algebras /$fAlexander Kirillov, Jr$b[electronic resource] 210 1$aCambridge :$cCambridge University Press,$d2008. 215 $a1 online resource (ix, 222 pages) $cdigital, PDF file(s) 225 1 $aCambridge studies in advanced mathematics ;$v113 300 $aTitle from publisher's bibliographic system (viewed on 05 Oct 2015). 311 $a1-107-47188-5 311 $a0-521-88969-3 320 $aIncludes bibliographical references (p. 216-219) and index. 327 $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. 330 $aWith roots in the nineteenth century, Lie theory has since found many and varied applications in mathematics and mathematical physics, to the point where it is now regarded as a classical branch of mathematics in its own right. This graduate text focuses on the study of semisimple Lie algebras, developing the necessary theory along the way. The material covered ranges from basic definitions of Lie groups to the classification of finite-dimensional representations of semisimple Lie algebras. Written in an informal style, this is a contemporary introduction to the subject which emphasizes the main concepts of the proofs and outlines the necessary technical details, allowing the material to be conveyed concisely. Based on a lecture course given by the author at the State University of New York at Stony Brook, the book includes numerous exercises and worked examples and is ideal for graduate courses on Lie groups and Lie algebras. 410 0$aCambridge studies in advanced mathematics ;$v113. 517 3 $aAn Introduction to Lie Groups & Lie Algebras 606 $aLie groups 606 $aLie algebras 615 0$aLie groups. 615 0$aLie algebras. 676 $a512/.482 700 $aKirillov$b Alexander A.$f1967-$01050553 801 0$bUkCbUP 801 1$bUkCbUP 906 $aBOOK 912 $a9910453177203321 996 $aAn introduction to Lie groups and Lie algebras$92480432 997 $aUNINA LEADER 00941nam0-2200301 --450 001 9911012479203321 005 20250708131448.0 010 $a88-425-1409-8 020 $aIT$b94-2481 100 $a20250708d1993----kmuy0itay5050 ba 101 1 $aita$ceng 102 $aIT 105 $a 001yy 200 1 $a<>altri lager$ei prigionieri tedeschi nei campi alleati in Europa dopo la 2. guerra mondiale$fJames Bacque 210 $aMilano$cMursia$d1993 215 $a218 p., [4] carte di tav.$cill.$d21 cm 225 1 $aTestimonianze fra cronaca e storia$v190 300 $aTrad. di Fulvio Bernadinis. 610 0 $aPrigionieri di guerra tedeschi$a1946-1949 676 $a940.5472$v20 700 1$aBacque,$bJames$0289862 801 0$aIT$bUNINA$gREICAT$2UNIMARC 901 $aBK 912 $a9911012479203321 952 $a940.53 BACJ 01$b2025/2774$fFLFBC 959 $aFLFBC 996 $aAltri lager$94403762 997 $aUNINA