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Abstract:

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.

Registro:

Documento: Artículo
Título:Crossed modules over operads and operadic cohomology
Autor:Baues, H.-J.; Minian, E.G.; Richter, B.
Filiación:Max-Planck Institut fur Mathematik, Vivatsgasse 7, 53111 Bonn, Germany
Dep. de Matematica Pabellon I, Ciudad Universitaria 1428, Buenos Aires, Argentina
Mathematisches Inst. der Univ. Bonn, Beringstrasse 1, 53115 Bonn, Germany
Palabras clave:Operads; Secondary cohomology
Año:2004
Volumen:31
Número:1
Página de inicio:39
Página de fin:69
DOI: http://dx.doi.org/10.1023/B:KTHE.0000021399.05635.63
Título revista:K-Theory
Título revista abreviado:K-Theory
ISSN:09203036
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_09203036_v31_n1_p39_Baues

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Citas:

---------- APA ----------
Baues, H.-J., Minian, E.G. & Richter, B. (2004) . Crossed modules over operads and operadic cohomology. K-Theory, 31(1), 39-69.
http://dx.doi.org/10.1023/B:KTHE.0000021399.05635.63
---------- CHICAGO ----------
Baues, H.-J., Minian, E.G., Richter, B. "Crossed modules over operads and operadic cohomology" . K-Theory 31, no. 1 (2004) : 39-69.
http://dx.doi.org/10.1023/B:KTHE.0000021399.05635.63
---------- MLA ----------
Baues, H.-J., Minian, E.G., Richter, B. "Crossed modules over operads and operadic cohomology" . K-Theory, vol. 31, no. 1, 2004, pp. 39-69.
http://dx.doi.org/10.1023/B:KTHE.0000021399.05635.63
---------- VANCOUVER ----------
Baues, H.-J., Minian, E.G., Richter, B. Crossed modules over operads and operadic cohomology. K-Theory. 2004;31(1):39-69.
http://dx.doi.org/10.1023/B:KTHE.0000021399.05635.63