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

Published online by Cambridge University Press:  31 August 2018

ESTANISLAO HERSCOVICH
ESTANISLAO HERSCOVICH*
Affiliation:
Institut Joseph Fourier, Université Grenoble Alpes, 100, Rue des Maths, 38610 Gières, Grenoble, France On leave of absence from Departamento de Matemática, FCEyN, UBA, Buenos Aires, Argentina e-mail: Estanislao.Herscovich@univ-grenoble-alpes.fr
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Abstract

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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.

Keywords

16E0516E4516T1516W70
Type
Research Article
Information
Glasgow Mathematical Journal , Volume 61 , Issue 3 , September 2019 , pp. 575 - 600
Copyright
Copyright © Glasgow Mathematical Journal Trust 2018 

References

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