The $\Bbb{Z}_2$-graded sticky shuffle product Hopf algebra
Volume 73 / 2006
Banach Center Publications 73 (2006), 237-243
MSC: 81S25, 16W30, 16W55.
DOI: 10.4064/bc73-0-17
Abstract
By abstracting the multiplication rule for $\Bbb{Z}_2$-graded quantum stochastic integrals, we construct a $\Bbb{Z}_2$-graded version of the Itô Hopf algebra, based on the space of tensors over a $\Bbb{Z}_2$% -graded associative algebra. Grouplike elements of the corresponding algebra of formal power series are characterised.
