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Twisting of Graded Quantum Groups and Solutions to the Quantum Yang-Baxter Equation. [PDF]

open access: yesTransform Groups
Huang H   +5 more
europepmc   +1 more source

On the Recollements of Functor Categories [PDF]

open access: possibleApplied Categorical Structures, 2015
This paper is devoted to the study of recollements of functor categories in different levels. In the first part of the paper, we start with a small category $\mathcal {S}$ and a maximal object s of
Javad Asadollahi   +2 more
openaire   +2 more sources

BASIC CONCEPTS OF ENRICHED CATEGORY THEORY

Elements of ∞-Category Theory, 2022
Although numerous contributions from divers authors, over the past fifteen years or so, have brought enriched category theory to a developed state, there is still no connected account of the theory, or even of a substantial part of it.
G. M. Kelly   +13 more
semanticscholar   +1 more source

The category of extensions and a characterisation of n-exangulated functors

Mathematische Zeitschrift, 2022
Additive categories play a fundamental role in mathematics and related disciplines. Given an additive category equipped with a biadditive functor, one can construct its category of extensions, which encodes important structural information.
Raphael Bennett-Tennenhaus   +3 more
semanticscholar   +1 more source

Categories and Functors

2020
Some mathematical constructions are “natural” because they do not involve any arbitrary choice. These constructions can be transferred from one model to another representing the same situation. Category theory has been elaborated so as give this vague but powerful idea a precise meaning which can be used in mathematical proofs.
Adrien Douady, Régine Douady
openaire   +2 more sources

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