Journal
FORUM MATHEMATICUM
Volume 20, Issue 5, Pages 841-858Publisher
WALTER DE GRUYTER GMBH
DOI: 10.1515/FORUM.2008.040
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Funding
- MEC (Spain)
- MTM [2006-15338-C02]
- Xunta de Galicia [PGIDIT04PXIC37101PN, PGIDIT04PXIC20702PN, PGIDITI06PXIB371128PR]
- Spanish Ministry of Education and Science [SB2004-0144]
- INTAS [03-51-3251, GNSF/ST06/3-004]
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We introduce crossed modules for the category of Leibniz n-algebras and prove that they are equivalent to cat(1)-Leibniz n-algebras and internal categories in Leibniz n-algebras. We interpret the set of equivalence classes of crossed extensions as the second cohomology of Leibniz n-algebras developed in [5].
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