THE CURVED A∞-COALGEBRA OF THE KOSZUL CODUAL OF A FILTERED DG ALGEBRA
Glasgow mathematical journal, Tome 61 (2019) no. 3, pp. 575-600
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The goal of this article is to study the coaugmented curved A∞-coalgebra structure of the Koszul codual of a filtered dg algebra over a field k. More precisely, we first extend one result of B. Keller that allowed to compute the A∞-coalgebra structure of the Koszul codual of a nonnegatively graded connected algebra to the case of any unitary dg algebra provided with a nonnegative increasing filtration whose zeroth term is k. We then show how to compute the coaugmented curved A∞-coalgebra structure of the Koszul codual of a Poincaré-Birkhoff-Witt (PBW) deformation of an N-Koszul algebra.
HERSCOVICH, ESTANISLAO. THE CURVED A∞-COALGEBRA OF THE KOSZUL CODUAL OF A FILTERED DG ALGEBRA. Glasgow mathematical journal, Tome 61 (2019) no. 3, pp. 575-600. doi: 10.1017/S001708951800037X
@article{10_1017_S001708951800037X,
author = {HERSCOVICH, ESTANISLAO},
title = {THE {CURVED} {A\ensuremath{\infty}-COALGEBRA} {OF} {THE} {KOSZUL} {CODUAL} {OF} {A} {FILTERED} {DG} {ALGEBRA}},
journal = {Glasgow mathematical journal},
pages = {575--600},
year = {2019},
volume = {61},
number = {3},
doi = {10.1017/S001708951800037X},
url = {http://geodesic.mathdoc.fr/articles/10.1017/S001708951800037X/}
}
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