Higher Genus Affine Lie Algebras of Krichever -- Novikov Type
| dc.creator | Schlichenmaier, Martin | |
| dc.date | 2005-10-20 | |
| dc.date.accessioned | 2026-07-07T06:47:43Z | |
| dc.date.available | 2026-07-07T06:47:43Z | |
| dc.description | Classical affine Lie algebras appear e.g. as symmetries of infinite dimensional integrable systems and are related to certain differential equations. They are central extensions of current algebras associated to finite-dimensional Lie algebras g. In geometric terms these current algebras might be described as Lie algebra valued meromorphic functions on the Riemann sphere with two possible poles. They carry a natural grading. In this talk the generalization to higher genus compact Riemann surfaces and more poles is reviewed. In case that the Lie algebra g is reductive (e.g. g is simple, semi-simple, abelian, ...) a complete classification of (almost-) graded central extensions is given. In particular, for g simple there exists a unique non-trivial (almost-)graded extension class. The considered algebras are related to difference equations, special functions and play a role in Conformal Field Theory. | |
| dc.description | 9 pages, Talk presented at the International Conference on Difference Equations, Special Functions, and Applications, Munich, July 2005 | |
| dc.identifier | https://arxiv.org/abs/math/0510440 | |
| dc.identifier | http://arxiv.org/abs/math/0510440 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/103747 | |
| dc.subject | Quantum Algebra | |
| dc.subject | Rings and Algebras | |
| dc.subject | 17B67, 17B56, 17B66, 14H55, 17B65, 30F30, 81R10, 81T40 | |
| dc.title | Higher Genus Affine Lie Algebras of Krichever -- Novikov Type | |
| dc.type | text |