On The Formality Theorem for the Differential Graded Lie Algebra of Drinfeld
Quantum Algebra
2010-10-04 v2
Abstract
We discuss the differential graded Lie algebra (DGLA) of Drinfeld modeled on the tensor algebra of the universal enveloping algebra of a Lie algebra g over any field K of characteristic zero. We explicitly analyze the first obstruction to the existence of the formality quasi-isomorphism for this DGLA. Our analysis implies the formality of the DGLA of Drinfeld associated to the two-dimensional Borel algebra b.
Keywords
Cite
@article{arxiv.math/0601055,
title = {On The Formality Theorem for the Differential Graded Lie Algebra of Drinfeld},
author = {PoNing Chen},
journal= {arXiv preprint arXiv:math/0601055},
year = {2010}
}
Comments
Submitted to the MIT Undergrad. J. Math