In this paper we prove formality of the exterior algebra on endowed with the big bracket considered as a graded Poisson algebra. We also discuss connection of this result to bialgebra deformations of the symmetric algebra of considered as bialgebra.
On vérifie la formalité de l’algèbre exterieure de munie du grand crochet considérée comme une algèbre de Poisson graduée. On discute la pertinence de ce resultat pour les déformations de bigèbres d’une algèbre symétrique de considérée comme une bigèbre.
@article{AFST_2016_6_25_2-3_569_0,
author = {Vladimir Hinich and Dan Lemberg},
title = {Formality theorem and bialgebra deformations},
journal = {Annales de la Facult\'e des sciences de Toulouse : Math\'ematiques},
pages = {569--582},
publisher = {Universit\'e Paul Sabatier, Toulouse},
volume = {Ser. 6, 25},
number = {2-3},
year = {2016},
doi = {10.5802/afst.1505},
zbl = {1410.17018},
mrnumber = {3530169},
language = {en},
url = {https://afst.centre-mersenne.org/articles/10.5802/afst.1505/}
}
TY - JOUR AU - Vladimir Hinich AU - Dan Lemberg TI - Formality theorem and bialgebra deformations JO - Annales de la Faculté des sciences de Toulouse : Mathématiques PY - 2016 SP - 569 EP - 582 VL - 25 IS - 2-3 PB - Université Paul Sabatier, Toulouse UR - https://afst.centre-mersenne.org/articles/10.5802/afst.1505/ DO - 10.5802/afst.1505 LA - en ID - AFST_2016_6_25_2-3_569_0 ER -
%0 Journal Article %A Vladimir Hinich %A Dan Lemberg %T Formality theorem and bialgebra deformations %J Annales de la Faculté des sciences de Toulouse : Mathématiques %D 2016 %P 569-582 %V 25 %N 2-3 %I Université Paul Sabatier, Toulouse %U https://afst.centre-mersenne.org/articles/10.5802/afst.1505/ %R 10.5802/afst.1505 %G en %F AFST_2016_6_25_2-3_569_0
Vladimir Hinich; Dan Lemberg. Formality theorem and bialgebra deformations. Annales de la Faculté des sciences de Toulouse : Mathématiques, Serie 6, Volume 25 (2016) no. 2-3, pp. 569-582. doi : 10.5802/afst.1505. https://afst.centre-mersenne.org/articles/10.5802/afst.1505/
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