Centers of Categorified Endomorphism Rings

Alexandru Chirvasitu

doi:10.1007/s10468-022-10119-4

Centers of Categorified Endomorphism Rings

Alexandru Chirvasitu

Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

We prove that for a large class of well-behaved cocomplete categories C the weak and strong Drinfeld centers of the monoidal category E of cocontinuous endofunctors of C coincide. This generalizes similar results in the literature, where C is the category of modules over a ring A and hence E is the category of A-bimodules.

Original language	English
Pages (from-to)	987-997
Number of pages	11
Journal	Algebras and Representation Theory
Volume	26
Issue number	3
DOIs	https://doi.org/10.1007/s10468-022-10119-4
State	Published - Jun 2023

Keywords

2-abelian group
2-ring
Drinfeld center
Dualizable
Linearly reductive
Locally presentable category
Weak center

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10.1007/s10468-022-10119-4

Cite this

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abstract = "We prove that for a large class of well-behaved cocomplete categories C the weak and strong Drinfeld centers of the monoidal category E of cocontinuous endofunctors of C coincide. This generalizes similar results in the literature, where C is the category of modules over a ring A and hence E is the category of A-bimodules.",

keywords = "2-abelian group, 2-ring, Drinfeld center, Dualizable, Linearly reductive, Locally presentable category, Weak center",

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AB - We prove that for a large class of well-behaved cocomplete categories C the weak and strong Drinfeld centers of the monoidal category E of cocontinuous endofunctors of C coincide. This generalizes similar results in the literature, where C is the category of modules over a ring A and hence E is the category of A-bimodules.

KW - 2-abelian group

KW - 2-ring

KW - Drinfeld center

KW - Dualizable

KW - Linearly reductive

KW - Locally presentable category

KW - Weak center

UR - https://www.scopus.com/pages/publications/85125268079

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SP - 987

EP - 997

JO - Algebras and Representation Theory

JF - Algebras and Representation Theory

IS - 3

ER -

Centers of Categorified Endomorphism Rings

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Keywords

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