Deforming the Lie algebra of vector fields on $S^1$ inside the Poisson algebra on $dot T^*S^1$
We study deformations of the standard embedding of the Lie algebra $Vect(S^1)$ of smooth vector fields on the circle, into the Lie algebra of functions on the cotangent bundle $T^*S^1$ (with respect to the Poisson bracket). We consider two analogous but different problems: (a) formal deformations of the standard embedding of $Vect(S^1)$ into the
Ovsienko, V. et al.
Fecha de publicación:
7
1997