Strict lifts and cohomological obstructions in symplectic Lie--Rinehart--Jacobi prequantization

Basile Guy Richard Bossoto, Servais Cyr Gatsé, Olivier Mabiala Mikanou

Let $(\G,ρ,ω)$ be a symplectic Lie--Rinehart--Jacobi algebra over a commutative algebra $A$, equivalently a Lie--Rinehart algebra $(\G,\barρ)$ endowed with a $1$-cocycle $\chi$ and a…