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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