3.9 Article

HOMOLOGY AND CENTRAL EXTENSIONS OF LEIBNIZ AND LIE n-ALGEBRAS

Journal

HOMOLOGY HOMOTOPY AND APPLICATIONS
Volume 13, Issue 1, Pages 59-74

Publisher

INT PRESS BOSTON, INC
DOI: 10.4310/HHA.2011.v13.n1.a3

Keywords

semi-abelian category; higher central extension; higher Hopf formula; homology; Leibniz n-algebra; Lie n-algebra

Funding

  1. Ministerio de Educacion y Ciencia [MTM2009-14464-C02-02]
  2. Xunta de Galicia [Incite09 207 215 PR]
  3. project Ingenio Mathematica (i-MATH) [CSD2006-00032]
  4. Centro de Matematica da Universidade de Coimbra
  5. Fundacao para a Ciencia e a Tecnologia [SFRH/BPD/38797/2007]
  6. EPSRC [EP/E012957/1] Funding Source: UKRI

Ask authors/readers for more resources

From the viewpoint of semi-abelian homology, some recent results on homology of Leibniz n-algebras can be explained categorically. In parallel with these results, we develop an analogous theory for Lie n-algebras. We also consider the relative case: homology of Leibniz n-algebras relative to the subvariety of Lie n-algebras.

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