Towards a cladistics of double Yangians and elliptic algebras

Authors
Arnaudon, D Avan, J Frappat, L Ragoucy, E Rossi, M
Citation
D. Arnaudon et al., Towards a cladistics of double Yangians and elliptic algebras, J PHYS A, 33(36), 2000, pp. 6279-6309
Citations number
69
Categorie Soggetti
Physics
Journal title
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL
ISSN journal
03054470 → ACNP
Volume
33
Issue
36
Year of publication
2000
Pages
6279 - 6309
Database
ISI
SICI code
0305-4470(20000915)33:36<6279:TACODY>2.0.ZU;2-N
Abstract
A self-contained description of algebraic structures, obtained by combinati ons of various limit procedures applied to vertex and face sl(2) elliptic q uantum affine algebras, is given. New double Yangian structures of dynamica l type are defined. Connections between these structures are established. A number of them take the form of twist-like actions. These are conjectured to be evaluations of universal twists.