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arXiv · 2105.02527

Generalised homomorphisms, measuring coalgebras and extended symmetries

Marjorie Batchelor·Will Boulton·Daren Chen·Jonathan Rawlinson·Mustafa Warsi
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Abstract

Three categories of algebras with morphisms generalising the usual set of algebra homomorphisms are described. The Sweedler product provides a hom-tensor equivalence relating these three categories, and a tool enabling the universal measuring coalgebra to be calculated in small cases. A parallel theory for modules is presented.

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Marjorie Batchelor, Will Boulton, Daren Chen, Jonathan Rawlinson, Mustafa Warsi. 2021-05-06. Generalised homomorphisms, measuring coalgebras and extended symmetries. https://arxiv.org/abs/2105.02527

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