On the Combinatorics of the Universal Enveloping Algebra Uh(sl2)
Quantum Algebra
2016-04-08 v1 Mathematical Physics
Combinatorics
math.MP
Abstract
We study using combinatorial methods the structural coefficients of the formal homogeneous universal enveloping algebra Uh(sl2) of the special linear algebra sl2 over a field of characteristic zero. We provide explicit formulae for the product of generic elements in Uh(sl2), and construct combinatorial objects giving flesh to these formulae.
Keywords
Cite
@article{arxiv.1604.02063,
title = {On the Combinatorics of the Universal Enveloping Algebra Uh(sl2)},
author = {Rafael Diaz and Edward Salamanca},
journal= {arXiv preprint arXiv:1604.02063},
year = {2016}
}