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algebra > differential algebra > Lie algebra > differential graded Lie algebra
... > algebra > abstract algebra > algebraic structure > algebra over a field > Lie algebra > differential graded Lie algebra
algebra > linear algebra > vector space > graded vector space > differential graded Lie algebra

Preferred term

differential graded Lie algebra  

Definition

  • In mathematics, in particular abstract algebra and topology, a differential graded Lie algebra (or dg Lie algebra, or dgla) is a graded vector space with added Lie algebra and chain complex structures that are compatible. Such objects have applications in deformation theory and rational homotopy theory.
    (Wikipedia, The Free Encyclopedia, https://en.wikipedia.org/wiki/Differential_graded_Lie_algebra)

Entry terms

  • dg Lie algebra

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