Exterior differential algebras and flat connections on Weyl groups

Kirillov, Anatol N.; Maeno, Toshiaki

Proc. Japan Acad. Ser. A Math. Sci., Tome 81 (2005) no. 3, p. 30-35 / Harvested from Project Euclid

Résumé

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.

Publié le : 2005-02-14
Classification: Noncommutative differential calculus, Weyl groups, 05E15, 16W30

@article{1116442057,
     author = {Kirillov, Anatol N. and Maeno, Toshiaki},
     title = {Exterior differential algebras and flat connections on Weyl groups},
     journal = {Proc. Japan Acad. Ser. A Math. Sci.},
     volume = {81},
     number = {3},
     year = {2005},
     pages = { 30-35},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1116442057}
}

Kirillov, Anatol N.; Maeno, Toshiaki. Exterior differential algebras and flat connections on Weyl groups. Proc. Japan Acad. Ser. A Math. Sci., Tome 81 (2005) no. 3, pp.  30-35. http://gdmltest.u-ga.fr/item/1116442057/