On the adjoint map of homotopy abelian DG-Lie algebras
Donatella Iacono; Marco Manetti
Archivum Mathematicum (2019)
- Volume: 055, Issue: 1, page 7-15
- ISSN: 0044-8753
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topIacono, Donatella, and Manetti, Marco. "On the adjoint map of homotopy abelian DG-Lie algebras." Archivum Mathematicum 055.1 (2019): 7-15. <http://eudml.org/doc/294327>.
@article{Iacono2019,
abstract = {We prove that a differential graded Lie algebra is homotopy abelian if its adjoint map into its cochain complex of derivations is trivial in cohomology. The converse is true for cofibrant algebras and false in general.},
author = {Iacono, Donatella, Manetti, Marco},
journal = {Archivum Mathematicum},
keywords = {differential graded Lie algebras; adjoint map; cofibrant resolutions},
language = {eng},
number = {1},
pages = {7-15},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {On the adjoint map of homotopy abelian DG-Lie algebras},
url = {http://eudml.org/doc/294327},
volume = {055},
year = {2019},
}
TY - JOUR
AU - Iacono, Donatella
AU - Manetti, Marco
TI - On the adjoint map of homotopy abelian DG-Lie algebras
JO - Archivum Mathematicum
PY - 2019
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 055
IS - 1
SP - 7
EP - 15
AB - We prove that a differential graded Lie algebra is homotopy abelian if its adjoint map into its cochain complex of derivations is trivial in cohomology. The converse is true for cofibrant algebras and false in general.
LA - eng
KW - differential graded Lie algebras; adjoint map; cofibrant resolutions
UR - http://eudml.org/doc/294327
ER -
References
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