 96451 Giuseppe Dito and Moshe Flato
 Generalized Abelian Deformations: Application to Nambu Mechanics
(54K, LaTeX with AMSFonts)
Sep 30, 96

Abstract ,
Paper (src),
View paper
(auto. generated ps),
Index
of related papers

Abstract. We study Abelian generalized deformations of the usual product of polynomials
introduced in mp_arc/9639. We construct an explicit example for the case of
$\frak{su}(2)$ which provides a tentative of a quantummechanical description
of Nambu Mechanics on ${\Bbb R}^3$. By introducing the notions of strong and
weak triviality of generalized deformations, we show that the Zariski product
is never trivial in either sense, while the example constructed here in a
quantummechanical context is only strongly nontrivial.
 Files:
96451.tex