VERSAL DEFORMATIONS OF THREE-DIMENSIONAL LIE ALGEBRAS AS L∞ALGEBRAS

DOI10.1142/S0219199705001702zbMath1075.14007arXivmath/0303346OpenAlexW2052949902MaRDI QIDQ3023925

Michael Penkava, Alice Fialowski

Publication date: 6 July 2005

Published in: Communications in Contemporary Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0303346

zbMATH Keywords

strong homotopy Lie algebrassuper algebras

Mathematics Subject Classification ID

Structure theory for Lie algebras and superalgebras (17B05) Homological methods in Lie (super)algebras (17B55) Formal methods and deformations in algebraic geometry (14D15) ``Super (or ``skew) structure (16W55)

Related Items

On singular formal deformations, DEFORMATIONS OF FOUR-DIMENSIONAL LIE ALGEBRAS, The moduli space of complex 5-dimensional Lie algebras, THE MODULI SPACE OF 1|1-DIMENSIONAL COMPLEX ASSOCIATIVE ALGEBRAS, On the cohomology of Lie algebras with an invariant inner product, Stratification of moduli spaces of Lie algebras, similar matrices and bilinear forms, Extensions of L ∞ algebras of two even and one odd dimension, Formal deformations, contractions and moduli spaces of Lie algebras, Extensions of associative algebras, Strongly homotopy Lie algebras of one even and two odd dimensions, Examples of miniversal deformations of infinity algebras, Comparison of 3-Dimensional ℤ-Graded and ℤ₂-GradedL_∞Algebras, Versal Deformations of Leibniz Algebras, EXTENSIONS OF (SUPER) LIE ALGEBRAS, Moduli spaces of low dimensional real Lie algebras, Leibniz algebra deformations of a Lie algebra

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