Crossed modules over operads and operadic cohomology

It is known that elements in the cohomology of groups and in the Hochschild cohomology of algebras are represented by crossed extensions. We introduce the notion of crossed modules and crossed extensions for algebras over operads and obtain in this way an operadic version of Hochschild cohomology. A...

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Detalles Bibliográficos
Autores principales:	Baues, H.-J., Minian, E.G., Richter, B.
Formato:	JOUR
Materias:	Operads Secondary cohomology
Acceso en línea:	http://hdl.handle.net/20.500.12110/paper_09203036_v31_n1_p39_Baues
Aporte de:	Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires

id	todo:paper_09203036_v31_n1_p39_Baues
record_format	dspace
spelling	todo:paper_09203036_v31_n1_p39_Baues2023-10-03T15:44:49Z Crossed modules over operads and operadic cohomology Baues, H.-J. Minian, E.G. Richter, B. Operads Secondary cohomology It is known that elements in the cohomology of groups and in the Hochschild cohomology of algebras are represented by crossed extensions. We introduce the notion of crossed modules and crossed extensions for algebras over operads and obtain in this way an operadic version of Hochschild cohomology. Applications are given for the operads Com, Ass and for E∞ operads. Fil:Minian, E.G. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_09203036_v31_n1_p39_Baues
institution	Universidad de Buenos Aires
institution_str	I-28
repository_str	R-134
collection	Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
topic	Operads Secondary cohomology
spellingShingle	Operads Secondary cohomology Baues, H.-J. Minian, E.G. Richter, B. Crossed modules over operads and operadic cohomology
topic_facet	Operads Secondary cohomology
description	It is known that elements in the cohomology of groups and in the Hochschild cohomology of algebras are represented by crossed extensions. We introduce the notion of crossed modules and crossed extensions for algebras over operads and obtain in this way an operadic version of Hochschild cohomology. Applications are given for the operads Com, Ass and for E∞ operads.
format	JOUR
author	Baues, H.-J. Minian, E.G. Richter, B.
author_facet	Baues, H.-J. Minian, E.G. Richter, B.
author_sort	Baues, H.-J.
title	Crossed modules over operads and operadic cohomology
title_short	Crossed modules over operads and operadic cohomology
title_full	Crossed modules over operads and operadic cohomology
title_fullStr	Crossed modules over operads and operadic cohomology
title_full_unstemmed	Crossed modules over operads and operadic cohomology
title_sort	crossed modules over operads and operadic cohomology
url	http://hdl.handle.net/20.500.12110/paper_09203036_v31_n1_p39_Baues
work_keys_str_mv	AT baueshj crossedmodulesoveroperadsandoperadiccohomology AT minianeg crossedmodulesoveroperadsandoperadiccohomology AT richterb crossedmodulesoveroperadsandoperadiccohomology
_version_	1807319177760866304

Crossed modules over operads and operadic cohomology

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