Noncommutative string theory, the R-matrix, and Hopf algebras

Motivated by the form of the noncommutative ∗-product in a system of open strings and Dp-branes with constant nonzero Neveu–Schwarz 2-form, we define a deformed multiplication operation on a quasitriangular Hopf algebra in terms of its R-matrix, and comment on some of its properties. We show that the noncommutative string theory ∗-product is a particular example of this multiplication, and comment on other possible Hopf algebraic properties which may underlie the theory.