Year: 1999
Type: article
Abstract: We study sun-products on ℝn, i.e. generalized Abelian deformations associated with star-products for general Poisson structures on ℝn. We show that their cochains are given by differential operators. As a consequence, the weak triviality of sun-products is established and we show that strong equivalence classes are quite small. When the Poisson structure is linear (i.e. on the dual of a Lie algebra), we show that the differentiability of sun-products implies that covariant starproducts on the dual of any Lie algebra are equivalent each other.
Source: Reviews in Mathematical Physics
Author: GIUSEPPE DITO
Language: English
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W2014346698