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Koszul duality between $E_n$-algebras an...

Matsuoka, Takuo...

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Koszul duality between $E_n$-algebras and coalgebras in a filtered category by Matsuoka, Takuo ( Author )

Content Provider	Lemonjar Open Access
Publisher	Australian National University
Publication Date	06-09-2023
Summary	We study the Koszul duality between augmented $E_n$-algebras and augmented $E_n$-coalgebras in a symmetric monoidal stable infinity $1$-category equipped with a filtration in a suitable sense. We obtain that the Koszul duality constructions restrict to an equivalence between augmented algebras and coalgebras which have some positivity and completeness with respect to the filtration. We also obtain that the Koszul duality construction is functorial between carefully constructed generalized Morita categories consisting of those algebras/coalgebras in each dimension.
ISBN	-
Item Type	Article
File Type	pdf
File Size	29.34 KB
Language	English
Subjects	-
Unlimited	MYR 0.01
Total read	-
URL	http://arxiv.org/abs/1409.6943

Citation

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AMA 11th EditionReferences

Matsuoka, Takuo. Koszul duality between $E_n$-algebras and coalgebras in a filtered category. Australian National University. September 06, 2023. Accessed November 13, 2024. https://online.provdatabase.com/cite/23596

APA 7th EditionReferences

Matsuoka, Takuo. (2023). Koszul duality between $E_n$-algebras and coalgebras in a filtered category. Australian National University. https://online.provdatabase.com/cite/23596

Chicago 17th EditionReferences

Matsuoka, Takuo. Koszul duality between $E_n$-algebras and coalgebras in a filtered category. Australian National University. 2023. https://online.provdatabase.com/cite/23596

HarvardReferences

Matsuoka, Takuo. (2023). Koszul duality between $E_n$-algebras and coalgebras in a filtered category. [Online]. Australian National University. Available from: https://online.provdatabase.com/cite/23596. (Accessed 13 November 2024).

Harvard AustraliaReferences

Matsuoka, Takuo, 2023, Koszul duality between $E_n$-algebras and coalgebras in a filtered category, Australian National University, viewed 13 November 2024, <https://online.provdatabase.com/cite/23596>

MLA 9th EditionWorks Cited

Matsuoka, Takuo. Koszul duality between $E_n$-algebras and coalgebras in a filtered category. Australian National University, 2023. PROV Database, https://online.provdatabase.com/cite/23596.

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