On the Maurer-Cartan simplicial set of a complete curved $$A_\infty $$-algebra
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DOI: 10.1007/s40062-021-00290-8
Abstract: In this paper, we develop the $$A_\infty $$ A ∞ -analog of the Maurer-Cartan simplicial set associated to an $$L_\infty $$ L ∞ -algebra and show how we can use this to study the deformation… read more here.
Keywords: complete curved; infty algebra; simplicial set; curved infty ... See more keywords
Multi derivation Maurer-Cartan algebras and sh-Lie-Rinehart algebras
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DOI: 10.1016/j.jalgebra.2016.10.008
Abstract: Abstract We extend the classical characterization of a finite-dimensional Lie algebra g in terms of its Maurer–Cartan algebra—the familiar differential graded algebra of alternating forms on g with values in the ground field, endowed with… read more here.
Keywords: algebra; lie rinehart; rinehart algebras; lie algebra ... See more keywords