A universal enveloping for \(L_\infty\)-algebras.

DOI10.4310/MRL.2008.v15.n6.a1zbMath1170.16018arXiv0706.1396OpenAlexW2963178781MaRDI QIDQ1000622

Vladimir Baranovsky

Publication date: 10 February 2009

Published in: Mathematical Research Letters (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0706.1396

zbMATH Keywords

universal enveloping algebrasperturbation theory\(A_\infty\)-algebrascobar construction\(L_\infty\)-algebrassymmetric coalgebrasCartan-Chevalley-Eilenberg coalgebras

Mathematics Subject Classification ID

Homological conditions on associative rings (generalizations of regular, Gorenstein, Cohen-Macaulay rings, etc.) (16E65) Universal enveloping (super)algebras (17B35) Graded Lie (super)algebras (17B70) Universal enveloping algebras of Lie algebras (16S30)

Related Items (6)

Noncommutative formality implies commutative and Lie formality ⋮ Derived Poincaré-Birkhoff-Witt theorems. With an appendix by Vladimir Dotsenko ⋮ Higher current algebras, homotopy Manin triples, and a rectilinear adelic complex ⋮ Algebraic Structures Associated to Orbifold Wreath Products ⋮ On the strong homotopy associative algebra of a foliation ⋮ The Milnor-Moore theorem for \(L_\infty\) algebras in rational homotopy theory

This page was built for publication: A universal enveloping for \(L_\infty\)-algebras.