Exterior differential algebras and flat connections on Weyl groups
We study some aspects of noncommutative differential geometry on a finite Weyl group in the sense of S. Woronowicz, K. Bresser et al., and S. Majid. For any finite Weyl group $W$ we consider the subalgebra generated by flat connections in the left-invariant exterior differential algebra of $W$.
For root systems of type $A$ and $D$ we describe a set of relations between the flat connections, which conjecturally is a complete set.
Permanent link to this document: http://projecteuclid.org/euclid.pja/1116442057
Mathematical Reviews number (MathSciNet): MR2126074
Zentralblatt MATH identifier: 02243065
Digital Object Identifier: doi:10.3792/pjaa.81.30