On any symplectic manifold, we show the existence of a closed star product by constructing a Weyl manifold. There is also an involutive anti-automorphism on a Weyl manifold. By using this, a complexification relating to a quaternion ring is given.
- Mathematics Subject Classifications (1991): 70H15, 58B30, 81S30
ASJC Scopus subject areas
- Statistical and Nonlinear Physics
- Mathematical Physics