Brackets in bosonic string theory

A bstract We give a review of brackets and interior products in bosonic string theory, in different representations, used in formulation of a theory and derived in transformations of the related mathematical structures. We consider the C -bracket, defined in a double string theory, in a context of the Poisson bracket acting on a symmetry generator, and show its connection to prior brackets through anomaly reduction, and its characteristics related to the Courant algebroid definitions.