Examples of Star Exponentials

Star Product and Applications

“…Using an arbitrary complex symmetric matrix, we can define a star product, which gives a family of star products parameterized by complex matrices [4][5][6]. In particular for symmetric matrices we obtain a family of commutative associative star products [1,2].…”

“…Using star exponentials of these algebras we describe Jacobi's theta and its basic identities (cf. [1,2,6]). First we consider a star product given by an arbitrary complex matrix.…”

Star Products and Applications

“…Using an arbitrary complex symmetric matrix, we can define a star product, which gives a family of star products parameterized by complex matrices [4][5][6]. In particular for symmetric matrices we obtain a family of commutative associative star products [1,2].…”

“…Using star exponentials of these algebras we describe Jacobi's theta and its basic identities (cf. [1,2,6]).…”