A generalised Hopf algebra for solitons

Mathematics – Quantum Algebra

Scientific paper

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16 pages AMSTeX

Scientific paper

This paper considers a generalisation of the idea of a Hopf algebra in which
a commutative ring replaces the field in the unit and counit. It is motivated
by an example from the inverse scattering formalism for solitons. We begin with
the corresponding idea for groups, where the concept of the identity is
altered.

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