By abstracting the multiplication rule for ℤ₂-graded quantum stochastic integrals, we construct a ℤ₂-graded version of the Itô Hopf algebra, based on the space of tensors over a ℤ₂-graded associative algebra. Grouplike elements of the corresponding algebra of formal power series are characterised.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-bc73-0-17, author = {Robin L. Hudson}, title = {The Z2-graded sticky shuffle product Hopf algebra}, journal = {Banach Center Publications}, volume = {72}, year = {2006}, pages = {237-243}, zbl = {1103.81027}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc73-0-17} }
Robin L. Hudson. The ℤ₂-graded sticky shuffle product Hopf algebra. Banach Center Publications, Tome 72 (2006) pp. 237-243. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc73-0-17/