03333nam 2200697 450 991081313430332120210826033411.03-11-038147-810.1515/9783110279641(CKB)3280000000038957(EBL)1130346(OCoLC)890070954(SSID)ssj0001333244(PQKBManifestationID)12539109(PQKBTitleCode)TC0001333244(PQKBWorkID)11377874(PQKB)10178747(MiAaPQ)EBC1130346(DE-B1597)175427(OCoLC)906039389(DE-B1597)9783110279641(Au-PeEL)EBL1130346(CaPaEBR)ebr11006658(CaONFJC)MIL805035(PPN)187992126(EXLCZ)99328000000003895720140506h20142014 uy| 0engurnn#---|u||utxtccrKrichever-Novikov type algebras theory and applications /Martin SchlichenmaierBerlin ;Boston :De Gruyter,[2014]©20141 online resource (378 p.)De Gruyter studies in mathematics ;volume 53Description based upon print version of record.3-11-026517-6 3-11-027964-9 Includes bibliographical references (pages 345-356).Front matter --Preface --Contents --1. Some background on Lie algebras --2. The higher genus algebras --3. The almost-grading --4. Fixing the basis elements --5. Explicit expressions for a system of generators --6. Central extensions of Krichever-Novikov type algebras --7. Semi-infinite wedge forms and fermionic Fock space representations --8. b − c systems --9. Affine algebras --10. The Sugawara construction --11. Wess-Zumino-Novikov-Witten models and Knizhnik-Zamolodchikov connection --12. Degenerations and deformations --13. Lax operator algebras --14. Some related developments --Bibliography --IndexKrichever 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 geometricDe Gruyter studies in mathematics ;volume 53.Infinite dimensional Lie algebrasConformal field theory.Lie algebras.Mathematical physics.Moduli spaces.Riemann surfaces.Infinite dimensional Lie algebras.512/.482SK 340SEPArvkSchlichenmaier Martin1952-51684MiAaPQMiAaPQMiAaPQBOOK9910813134303321Krichever-Novikov type algebras3972270UNINA