On the string Lie algebra
Quantum Algebra
2014-07-28 v1 Mathematical Physics
K-Theory and Homology
math.MP
Abstract
We construct an abelian representative for the crossed module associated to the string Lie algebra. We show how to apply this construction in order to define quasi-invariant tensors which serve to categorify the infinitesimal braiding on the category of g-modules given by an r-matrix, following Cirio-Martins.
Cite
@article{arxiv.1407.6806,
title = {On the string Lie algebra},
author = {Salim Riviere and Friedrich Wagemann},
journal= {arXiv preprint arXiv:1407.6806},
year = {2014}
}
Comments
29 pages