A+ CATEGORY SCIENTIFIC UNIT

The $\Bbb{Z}_2$-graded sticky shuffle product Hopf algebra

Volume 73 / 2006

Robin L. Hudson 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.

Authors

  • Robin L. HudsonSchool of Mathematics
    University of Loughborough
    Loughborough, Leicestershire LE11 3TU
    Great Britain
    e-mail

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