Differential calculus and gauge transformations on a deformed space
Abstract
Description
Deformed gauge transformations on deformed coordinate spaces are considered for any Lie algebra. The representation theory of this gauge group forces us to work in a deformed Lie algebra as well. This deformation rests on a twisted Hopf algebra, thus we can represent a twisted Hopf algebra on deformed spaces. That leads to the construction of Lagrangian invariant under a twisted Lie algebra.
14 pages, to appear in General Relativity and Gravitation Journal, Obregon's Festschrift 2006, V2: misprints corrected
14 pages, to appear in General Relativity and Gravitation Journal, Obregon's Festschrift 2006, V2: misprints corrected