Deformations of some infinite-dimensional Lie algebras

DOI10.1063/1.528720zbMath0759.17012OpenAlexW1988003140MaRDI QIDQ4712421

Alice Fialowski

Publication date: 25 June 1992

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.528720

zbMATH Keywords

cohomologydeformationsMassey productsversal deformationsWitt algebraobstructionsVirasoro algebraLie algebra of vector fieldsaffine algebras

Mathematics Subject Classification ID

Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67) Virasoro and related algebras (17B68) Lie algebras of vector fields and related (super) algebras (17B66) Cohomology of Lie (super)algebras (17B56)

Related Items (18)

FORMAL AND ANALYTIC RIGIDITY OF THE WITH ALGEBRA ⋮ Deformations of nilpotent parts of the Neveu–Schwarz and Ramond superalgebras ⋮ Thin Leibniz algebras ⋮ On rigidity of 3d asymptotic symmetry algebras ⋮ The deformed twisted Heisenberg–Virasoro type Lie bialgebra ⋮ Deformations in mathematics and physics ⋮ Formal deformations, contractions and moduli spaces of Lie algebras ⋮ Global geometric deformations of the Virasoro algebra, current and affine algebras by Krichever-Novikov type algebras ⋮ Second cohomology of q-deformed Witt superalgebras ⋮ SUR UNE CLASSE D'ALGEBRES DE LIE DE DIMENSION INFINIE ⋮ Global geometric deformations of current algebras as Krichever-Novikov type algebras ⋮ FORMAL AND ANALYTIC DEFORMATIONS FROM WITT TO VIRASORO ⋮ The absolute rigidity of the Neveu–Schwarz and Ramond superalgebras ⋮ Generalized Virasoro algebra: left-symmetry and related algebraic and hydrodynamic properties ⋮ The low-dimensional algebraic cohomology of the Witt and the Virasoro algebra with values in natural modules ⋮ GLOBAL DEFORMATIONS OF THE WITT ALGEBRA OF KRICHEVER–NOVIKOV TYPE ⋮ The deformed Lie algebra of differential operators of order at most one ⋮ Formal rigidity of the Witt and Virasoro algebra

Cites Work

• Homology of the Lie algebra of vector fields on the line
• Lie algebra homology and the Macdonald-Kac formulas
• Massey operations in Lie superalgebras and deformations of complexly analytic algebras
• Cohomology of Lie algebras of formal vector fields on the line
• Cohomologies of Lie algebra of tangential vector fields. II
• DEFORMATIONS OF LIE ALGEBRAS
• Cohomology of the infinite-dimensional Lie algebra 𝐿₁ with nontrivial coefficients
• The cohomologies of the lie algebra of the vector fields in a circle

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