Itô versus Woronowicz calculus in Itô Hopf algebras

Year, pages: 2004, 151 - 159

It is shown that the differential map in the universal enveloping algebra of a commutator Lie algebra and the right and left differential maps in the Itô Hopf algebra over an associative algebra each generate first order differential calculi in the sense of Woronowicz in which the Leibniz formula is found by absorbing the Itô term of the Leibniz-Itô formula into either the left or the right action. In general these first order calculi are not bicovariant.

Hudson, R. 2004. Itô versus Woronowicz calculus in Itô Hopf algebras. In Mathematica Slovaca, vol. 54, no.2, pp. 151-159. 0139-9918.

Hudson, R. (2004). Itô versus Woronowicz calculus in Itô Hopf algebras. Mathematica Slovaca, 54(2), 151-159. 0139-9918.