Home > Research > Publications & Outputs > Cocommutative algebras

Research

Associated organisational unit

Electronic data

  • coalgebras-1

    Accepted author manuscript, 506 KB, PDF document

    Available under license: CC BY-NC: Creative Commons Attribution-NonCommercial 4.0 International License

Links

Text available via DOI:

View graph of relations

Cocommutative algebras: homotopy theory and Koszul duality

Research output: Contribution to Journal/Magazine › Journal article › peer-review

Published

Standard

Cocommutative algebras: homotopy theory and Koszul duality. / Chuang, Joseph; Lazarev, Andrey; Mannan, Wajid Hassan.
In: Homology, Homotopy and Applications, Vol. 18, No. 2, 11.2016, p. 303-336.

Research output: Contribution to Journal/Magazine › Journal article › peer-review

Harvard

Chuang, J, Lazarev, A & Mannan, WH 2016, 'Cocommutative algebras: homotopy theory and Koszul duality', Homology, Homotopy and Applications, vol. 18, no. 2, pp. 303-336. https://doi.org/10.4310/HHA.2016.v18.n2.a17

APA

Chuang, J., Lazarev, A., & Mannan, W. H. (2016). Cocommutative algebras: homotopy theory and Koszul duality. Homology, Homotopy and Applications, 18(2), 303-336. https://doi.org/10.4310/HHA.2016.v18.n2.a17

Vancouver

Chuang J, Lazarev A, Mannan WH. Cocommutative algebras: homotopy theory and Koszul duality. Homology, Homotopy and Applications. 2016 Nov;18(2):303-336. doi: 10.4310/HHA.2016.v18.n2.a17

Author

Chuang, Joseph ; Lazarev, Andrey ; Mannan, Wajid Hassan. / Cocommutative algebras : homotopy theory and Koszul duality. In: Homology, Homotopy and Applications. 2016 ; Vol. 18, No. 2. pp. 303-336.

Bibtex

@article{24c6ac44b48944ccb4d696327d73cdf9,
title = "Cocommutative algebras: homotopy theory and Koszul duality",
abstract = "We extend a construction of Hinich to obtain a closed model category structure on all differential graded cocommutative coalgebras over an algebraically closed field of characteristic zero. We further show that the Koszul duality between commutative and Lie algebras extends to a Quillen equivalence between cocommutative coalgebras and formal coproducts of curved Lie algebras.",
author = "Joseph Chuang and Andrey Lazarev and Mannan, {Wajid Hassan}",
year = "2016",
month = nov,
doi = "10.4310/HHA.2016.v18.n2.a17",
language = "English",
volume = "18",
pages = "303--336",
journal = "Homology, Homotopy and Applications",
issn = "1532-0073",
publisher = "International Press of Boston, Inc.",
number = "2",

}

RIS

TY - JOUR

T1 - Cocommutative algebras

T2 - homotopy theory and Koszul duality

AU - Chuang, Joseph

AU - Lazarev, Andrey

AU - Mannan, Wajid Hassan

PY - 2016/11

Y1 - 2016/11

N2 - We extend a construction of Hinich to obtain a closed model category structure on all differential graded cocommutative coalgebras over an algebraically closed field of characteristic zero. We further show that the Koszul duality between commutative and Lie algebras extends to a Quillen equivalence between cocommutative coalgebras and formal coproducts of curved Lie algebras.

AB - We extend a construction of Hinich to obtain a closed model category structure on all differential graded cocommutative coalgebras over an algebraically closed field of characteristic zero. We further show that the Koszul duality between commutative and Lie algebras extends to a Quillen equivalence between cocommutative coalgebras and formal coproducts of curved Lie algebras.

U2 - 10.4310/HHA.2016.v18.n2.a17

DO - 10.4310/HHA.2016.v18.n2.a17

M3 - Journal article

VL - 18

SP - 303

EP - 336

JO - Homology, Homotopy and Applications

JF - Homology, Homotopy and Applications

SN - 1532-0073

IS - 2

ER -