Star product formula of theta functions

Details Star product formula of theta functions Star product formula of theta functions

2005-10-14

arxiv.org/abs/math/0510307v1

Lett.Math.Phys. 75 (2006) 279-292

Mathematics

Quantum Algebra

12 pages

Scientific paper

10.1007/s11005-006-0051-0

As a noncommutative generalization of the addition formula of theta functions, we construct a class of theta functions which are closed with respect to the Moyal star product of a fixed noncommutative parameter. These theta functions can be regarded as bases of the space of holomorphic homomorphisms between holomorphic line bundles over noncommutative complex tori.

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