Equivalence rationnelle d'algebres polynomiales classiques et quantiques

Details Equivalence rationnelle d'algebres polynomiales classiques et quantiques Equivalence rationnelle d'algebres polynomiales classiques et quantiques

2003-11-25

arxiv.org/abs/math/0311442v1

Journal of Algebra, Volume 287, Issue 1 , 1 May 2005, Pages 52-87

Mathematics

Rings and Algebras

Article in French

Scientific paper

10.1016/j.jalgebra.2004.12.008

This article is devoted to rational equivalence for non-commutative polynomial algebras in a context including both the classical Gelfand-Kirillov problem and its quantum version. We introduce in this ``mixed'' context some reference algebras and define two new invariants allowing us to separate the fraction fields of these algebras up to isomorphism. The first one is linked to the notion of maximal simple quantum sub-torus, and the second one is a dimensionnal invariant measuring the classical character (in terms of Weyl algebras) of the skew-fields into consideration. As an application we obtain results concerning the rational equivalence of multiparametrized quantum Weyl algebras.

Affiliated with

Also associated with

No associations

Rating

Equivalence rationnelle d'algebres polynomiales classiques et quantiques does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Equivalence rationnelle d'algebres polynomiales classiques et quantiques, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Equivalence rationnelle d'algebres polynomiales classiques et quantiques will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-670905