Loterre: Matemáticas: homotopy Lie algebra

algebra > differential algebra > Lie algebra > homotopy Lie algebra

... > abstract algebra > algebraic structure > algebra over a field > Lie algebra > homotopy Lie algebra

homotopy Lie algebra

In mathematics, in particular abstract algebra and topology, a homotopy Lie algebra (or ${\\displaystyle L_{\\infty }}$ -algebra) is a generalisation of the concept of a differential graded Lie algebra. To be a little more specific, the Jacobi identity only holds up to homotopy. Therefore, a differential graded Lie algebra can be seen as a homotopy Lie algebra where the Jacobi identity holds on the nose. These homotopy algebras are useful in classifying deformation problems over characteristic 0 in deformation theory because deformation functors are classified by quasi-isomorphism classes of L∞-algebras. This was later extended to all characteristics by Jonathan Pridham.
(Wikipedia, The Free Encyclopedia, https://en.wikipedia.org/wiki/Homotopy_Lie_algebra)

http://data.loterre.fr/ark:/67375/PSR-KFJZXBV9-1

RDF/XML TURTLE JSON-LD Creado 23/8/23, última modificación 23/8/23

LOTERRE