Exterior differential algebras and flat connections on Weyl groups
Quantum Algebra
2007-05-23 v3
Abstract
We study some aspects of noncommutative differential geometry on a finite Weyl group in the sense of S. Woronowicz, K. Bresser {\it et al.}, and S. Majid. For any finite Weyl group we consider the subalgebra generated by flat connections in the left-invariant exterior differential algebra of For root systems of type and we describe a set of relations between the flat connections, which conjecturally is a complete set.
Keywords
Cite
@article{arxiv.math/0407291,
title = {Exterior differential algebras and flat connections on Weyl groups},
author = {Anatol N. Kirillov and Toshiaki Maeno},
journal= {arXiv preprint arXiv:math/0407291},
year = {2007}
}