DEGENERATIONS OF GENERALIZED KRICHEVER-NOVIKOV ALGEBRAS ON TORI

Authors
SCHLICHENMAIER M
Citation
M. Schlichenmaier, DEGENERATIONS OF GENERALIZED KRICHEVER-NOVIKOV ALGEBRAS ON TORI, Journal of mathematical physics, 34(8), 1993, pp. 3809-3824
Citations number
27
Categorie Soggetti
Mathematical Method, Physical Science","Physycs, Mathematical
Journal title
Journal of mathematical physics → ACNP
ISSN journal
00222488
Volume
34
Issue
8
Year of publication
1993
Pages
3809 - 3824
Database
ISI
SICI code
0022-2488(1993)34:8<3809:DOGKAO>2.0.ZU;2-T
Abstract
Degenerations of Lie algebras of meromorphic vector fields on elliptic curves (i.e., complex tori) which are holomorphic outside a certain s et of points (markings) are studied. By an algebraic geometric degener ation process certain subalgebras of Lie algebras of meromorphic vecto r fields on P1, the Riemann sphere, are obtained. In case of some natu ral choices of the markings these subalgebras are explicitly determine d. It is shown that the number of markings can change.