THE CURVED A∞-COALGEBRA OF THE KOSZUL CODUAL OF A FILTERED DG ALGEBRA

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 c...

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Bibliographic Details
Published inGlasgow mathematical journal Vol. 61; no. 3; pp. 575 - 600
Main Author HERSCOVICH, ESTANISLAO
Format Journal Article
LanguageEnglish
Published Cambridge, UK Cambridge University Press 01.09.2019
Cambridge University Press (CUP)
Subjects
Algebra
K-Theory and Homology
Mathematics
16E05
16E45
16W70
16T15
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Summary: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.
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content type line 14
ISSN:0017-0895
1469-509X
DOI:10.1017/S001708951800037X