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Deformations of algebras over operads and Deligne's conjecture
algebras over operads Deligne's conjecture
2015/3/25
In present paper we develop the deformation theory of operads and algebras over operads. Free resolutions (constructed via Boardman-Vogt approach) are used in order to describe formal moduli spaces of...
Calabi-Yau algebras viewed as deformations of Poisson algebras
Koszul algebras Calabi-Yau algebras Poisson algebras deformations of algebras Poisson homology Hochschild homology
2011/9/19
Abstract: We define a family of 3-Calabi-Yau algebras by potentials. For some of these algebras, we explicitly compute the Hochschild homology with the help of Poisson homology. The point is that the ...
Deformations of modules of maximal grade and the Hilbert scheme at determinantal schemes
Deformations of modules of maximal grade Hilbert scheme determinantal schemes
2011/1/19
Let R be a polynomial ring and M a finitely generated graded R-module of maximal grade (which means that the ideal It(A) generated by the maximal minors of a homogeneous presentation matrix.
On a class of n-Leibniz deformations of the simple Filippov algebras
n-Leibniz deformations simple Filippov algebras
2010/12/6
We study the problem of infinitesimal deformations of all real sim-ple finite-dimensional Filippov (or n-Lie) algebras considered as a class of n-Leibniz algebras characterized by having a n-bracket s...
K-theory of Continuous Deformations of $C^*$-algebras
$C^*$-algebra continuous field K-theory deformation
2007/12/11
We study K-theory of continuous deformations of $C^*$-algebras to obtain that their K-theory is the same as that of the fiber at zero. We also consider continuous or discontinuous deformations of Cunt...
Deformations of chiral algebras and quantum cohomology of toric varieties
chiral algebras quantum cohomology toric varieties
2010/11/1
We reproduce the quantum cohomology of toric varieties (and of some hypersurfaces in projective spaces) as the cohomology of certain vertex algebras with differential. The deformation technique allows...
Deformations of algebras over operads and Deligne's conjecture
Deformations algebras operads Deligne's conjecture
2010/11/1
In present paper we develop the deformation theory of operads and algebras over operads. Free resolutions (constructed via Boardman-Vogt approach) are used in order to describe formal moduli spaces o...
Twist deformations for generalized Heisenberg algebras
Twist deformations generalized Heisenberg algebras
2010/11/1
Multidimensional Heisenberg algebras, whose creation and annihilation operators are the N-dimensional vectors, can be injected into simple Lie algebras g. It is demonstrated that the spectrum of thei...