Note On Endomorphism Algebras Of Separable Monoidal Functors
Brian J. Day, Craig A. Pastro
TL;DR
This paper revisits the Tannaka construction for split monoidal functors into vector spaces, removing previous restrictions on the domain to broaden its applicability.
Contribution
It extends the Tannaka construction to include non-compact domains, enhancing the understanding of endomorphism algebras of separable monoidal functors.
Findings
Removed compactness restriction on the domain in Tannaka construction
Generalized endomorphism algebra analysis for separable monoidal functors
Enhanced theoretical framework for monoidal functor analysis
Abstract
We recall the Tannaka construction for certain types of split monoidal functor into Vect_{k}, and remove the compactness restriction on the domain.
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Taxonomy
TopicsHomotopy and Cohomology in Algebraic Topology · Rings, Modules, and Algebras · Algebraic Geometry and Number Theory