TL;DR
This paper introduces the concept of a Hall-fusion bialgebra derived from a promonoidal double, expanding the algebraic structures associated with category theory.
Contribution
It defines the Hall-fusion bialgebra and discusses its face version for probicategories, contributing to the understanding of algebraic structures in category theory.
Findings
Defines the Hall-fusion bialgebra from promonoidal double
Introduces the face version for probicategories
Provides foundational framework for algebraic structures in category theory
Abstract
We describe what might be called the "Hall-fusion" bialgebra constructed from a promonoidal double, and mention the corresponding face version for probicategories.
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Taxonomy
TopicsAdvanced Topics in Algebra · Algebraic structures and combinatorial models · Homotopy and Cohomology in Algebraic Topology