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International Conference on Bousfield Classes form a set: in Memory of Testusuke Ohkawa

BouCla 2015: Bousfield Classes and Ohkawa's Theorem pp 381–406Cite as

Koszul Duality for \(E_n\)-Algebras in a Filtered Category

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Part of the book series: Springer Proceedings in Mathematics & Statistics ((PROMS,volume 309))

Abstract

We describe the use of filtration for algebra, in particular, for the Koszul duality, in a stable (\(\infty ,1\))-category, while illustrating how simple arguments with filtrations lead to finding nice behaviour of very basic constructions in homotopical algebra.

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Acknowledgements

The author is grateful to the anonymous referee for the fair criticism and helpful suggestions.

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Authors and Affiliations

  1. Intage Technosphere Inc., Intage Akihabara Bldg., 3 Kanda-Neribeicho, Chiyoda-Ku, Tokyo, Japan

    Takuo Matsuoka

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  1. Takuo Matsuoka
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Correspondence to Takuo Matsuoka .

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Editors and Affiliations

  1. Graduate School of Mathematics, Nagoya University, Nagoya, Aichi, Japan

    Takeo Ohsawa

  2. Department of Computer Science, Nagoya Institute of Technology, Nagoya, Japan

    Norihiko Minami

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Matsuoka, T. (2020). Koszul Duality for \(E_n\)-Algebras in a Filtered Category. In: Ohsawa, T., Minami, N. (eds) Bousfield Classes and Ohkawa's Theorem. BouCla 2015. Springer Proceedings in Mathematics & Statistics, vol 309. Springer, Singapore. https://doi.org/10.1007/978-981-15-1588-0_12

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