Two-parameter deformation of loop algebras and superalgebras
q-alg
2007-05-23 v1 Quantum Algebra
Abstract
We discuss two-parameter deformations of an universal enveloping algebra of a polynomial loop algebra , where is a finite-dimensional complex simple Lie algebra (or superalgebra). These deformations are Hopf algebras. One deformation called Drinfeldian is a quantization of in the direction of a classical r-matrix which is a sum of the simplest rational and trigonometric r-matrices. Another deformation (discussed only for the case ) is a twisting of the usual Yangian .
Cite
@article{arxiv.q-alg/9712028,
title = {Two-parameter deformation of loop algebras and superalgebras},
author = {Valeriy N. Tolstoy},
journal= {arXiv preprint arXiv:q-alg/9712028},
year = {2007}
}
Comments
Communication presented in the 5th Wigner Symposium, Vienna,1997; 3 pages, LaTeX