منابع مشابه
L∞ algebra structures of Lie algebra deformations
In this paper,we will show how to kill the obstructions to Lie algebra deformations via a method which essentially embeds a Lie algebra into Strong homotopy Lie algebra or L∞ algebra. All such obstructions have been transfered to the revelvant L∞ algebras which contain only three terms.
متن کاملLeibniz algebra deformations of a Lie algebra
In this note we compute Leibniz algebra deformations of the 3-dimensional nilpotent Lie algebra n3 and compare it with its Lie deformations. It turns out that there are 3 extra Leibniz deformations. We also describe the versal Leibniz deformation of n3 with the versal base.
متن کاملDeformations of the Restricted Melikian Lie Algebra
We compute the infinitesimal deformations of the restricted Melikian Lie algebra in characteristic 5.
متن کاملMultidimensional integrable systems from deformations of Lie algebra homomorphisms
We use deformations of Lie algebra homomorphisms to construct deformations of dispersionless integrable systems arising as symmetry reductions of anti–self–dual Yang–Mills equations with a gauge group Diff(S). email [email protected] email [email protected] email [email protected]
متن کاملMultidimensional integrable systems and deformations of Lie algebra homomorphisms
We use deformations of Lie algebra homomorphisms to construct deformations of dispersionless integrable systems arising as symmetry reductions of anti–self–dual Yang–Mills equations with a gauge group Diff(S). email [email protected] email [email protected] email [email protected]
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ژورنال
عنوان ژورنال: Indiana University Mathematics Journal
سال: 1967
ISSN: 0022-2518
DOI: 10.1512/iumj.1968.17.17005