Deformation theory of infinity algebras.

DOI10.1016/S0021-8693(02)00067-4zbMath1038.17012arXivmath/0101097MaRDI QIDQ1858178

Alice Fialowski, Michael Penkava

Publication date: 12 February 2003

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0101097

zbMATH Keywords

deformationminiversal deformationHarrison cohomologydifferential graded Lie algebrainfinity algebra

Mathematics Subject Classification ID

Homological methods in Lie (super)algebras (17B55) Graded Lie (super)algebras (17B70) Cohomology of Lie (super)algebras (17B56)

Related Items

Deformations of Homotopy Algebras, DEFORMATIONS OF FOUR-DIMENSIONAL LIE ALGEBRAS, THE MODULI SPACE OF 1|1-DIMENSIONAL COMPLEX ASSOCIATIVE ALGEBRAS, Cohomology theories for homotopy algebras and noncommutative geometry, Strictly unital \(\mathrm{A}_{\infty}\)-algebras, Hom-associative algebras up to homotopy, Spectral sequences associated to deformations, Uniqueness of \(A_\infty\)-structures and Hochschild cohomology., On rigidity of 3d asymptotic symmetry algebras, Extensions of L ∞ algebras of two even and one odd dimension, Formal deformations, contractions and moduli spaces of Lie algebras, VERSAL DEFORMATIONS OF THREE-DIMENSIONAL LIE ALGEBRAS AS L_∞ALGEBRAS, Extensions of associative algebras, Coalgebraic approach to the Loday infinity category, stem differential for \(2n\)-ary graded and homotopy algebras, Distortion of the Poisson bracket by the noncommutative Planck constants, 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, Moduli spaces of low-dimensional Lie superalgebras, Cup product on \(A_\infty\)-cohomology and deformations, The Moduli Space of 3-Dimensional Associative Algebras, Leibniz gauge theories and infinity structures

Cites Work

• The intrinsic bracket on the deformation complex of an associative algebra
• A\({}_{\infty}\)-algebras and the cyclic bar complex
• The Lie algebra structure of tangent cohomology and deformation theory
• The \(sh\) Lie structure of Poisson brackets in field theory
• Construction of miniversal deformations of Lie algebras
• Introduction to sh Lie algebras for physicists
• A cohomology theory for \(A(m)\)-algebras and applications
• Ribbon graphs, quadratic differentials on Riemann surfaces, and algebraic curves defined over \(\overline{\mathbb Q}\)
• On operad structures of moduli spaces and string theory
• The cohomology structure of an associative ring
• On the deformation of rings and algebras
• On the cohomology groups of an associative algebra
• Commutative Algebras and Cohomology
• DEFORMATIONS OF LIE ALGEBRAS
• Strongly homotopy lie algebras
• Homotopy Associativity of H-Spaces. I
• Massey brackets and deformations.
• Versal deformation of the Lie algebra \(L_2\)
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