LEADER 03333nam 2200697 450 001 9910813134303321 005 20210826033411.0 010 $a3-11-038147-8 024 7 $a10.1515/9783110279641 035 $a(CKB)3280000000038957 035 $a(EBL)1130346 035 $a(OCoLC)890070954 035 $a(SSID)ssj0001333244 035 $a(PQKBManifestationID)12539109 035 $a(PQKBTitleCode)TC0001333244 035 $a(PQKBWorkID)11377874 035 $a(PQKB)10178747 035 $a(MiAaPQ)EBC1130346 035 $a(DE-B1597)175427 035 $a(OCoLC)906039389 035 $a(DE-B1597)9783110279641 035 $a(Au-PeEL)EBL1130346 035 $a(CaPaEBR)ebr11006658 035 $a(CaONFJC)MIL805035 035 $a(PPN)187992126 035 $a(EXLCZ)993280000000038957 100 $a20140506h20142014 uy| 0 101 0 $aeng 135 $aurnn#---|u||u 181 $ctxt 182 $cc 183 $acr 200 10$aKrichever-Novikov type algebras $etheory and applications /$fMartin Schlichenmaier 210 1$aBerlin ;$aBoston :$cDe Gruyter,$d[2014] 210 4$dİ2014 215 $a1 online resource (378 p.) 225 1 $aDe Gruyter studies in mathematics ;$vvolume 53 300 $aDescription based upon print version of record. 311 0 $a3-11-026517-6 311 0 $a3-11-027964-9 320 $aIncludes bibliographical references (pages 345-356). 327 $tFront matter --$tPreface --$tContents --$t1. Some background on Lie algebras --$t2. The higher genus algebras --$t3. The almost-grading --$t4. Fixing the basis elements --$t5. Explicit expressions for a system of generators --$t6. Central extensions of Krichever-Novikov type algebras --$t7. Semi-infinite wedge forms and fermionic Fock space representations --$t8. b ? c systems --$t9. Affine algebras --$t10. The Sugawara construction --$t11. Wess-Zumino-Novikov-Witten models and Knizhnik-Zamolodchikov connection --$t12. Degenerations and deformations --$t13. Lax operator algebras --$t14. Some related developments --$tBibliography --$tIndex 330 $aKrichever and Novikov introduced certain classes of infinite dimensional Lie algebras to extend the Virasoro algebra and its related algebras to Riemann surfaces of higher genus. The author of this book generalized and extended them to a more general setting needed by the applications. Examples of applications are Conformal Field Theory, Wess-Zumino-Novikov-Witten models, moduli space problems, integrable systems, Lax operator algebras, and deformation theory of Lie algebra. Furthermore they constitute an important class of infinite dimensional Lie algebras which due to their geometric 410 0$aDe Gruyter studies in mathematics ;$vvolume 53. 606 $aInfinite dimensional Lie algebras 610 $aConformal field theory. 610 $aLie algebras. 610 $aMathematical physics. 610 $aModuli spaces. 610 $aRiemann surfaces. 615 0$aInfinite dimensional Lie algebras. 676 $a512/.482 686 $aSK 340$qSEPA$2rvk 700 $aSchlichenmaier$b Martin$f1952-$051684 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910813134303321 996 $aKrichever-Novikov type algebras$93972270 997 $aUNINA