Cladistics of Double Yangians and Elliptic Algebras
Quantum Algebra
2008-11-26 v2 Mathematical Physics
math.MP
Abstract
A self-contained description of algebraic structures, obtained by combinations of various limit procedures applied to vertex and face sl(2) elliptic quantum affine algebras, is given. New double Yangians structures of dynamical type are in particular 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.
Keywords
Cite
@article{arxiv.math/9906189,
title = {Cladistics of Double Yangians and Elliptic Algebras},
author = {D. Arnaudon and J. Avan and L. Frappat and E. Ragoucy and M. Rossi},
journal= {arXiv preprint arXiv:math/9906189},
year = {2008}
}
Comments
42 pages, one Postscript figure; important reference added; some misprints corrected; definition of cladistics added