Buscar
Mostrando ítems 1-10 de 152
The Lie algebra of derivations of a current Lie algebra
(Taylor & Francis, 2019-09)
Let K be a field of characteristic zero, g be a finite dimensional K-Lie algebra and let A be a finite dimensional associative and commutative K-algebra with unit. We describe the structure of the Lie algebra of derivations ...
Towards a Lie theory for vertex and conformal algebras
(Cornell University, 2020-04)
We introduce several definitions within the framework ofvertex and conformal algebras which are analogous to some importantconcepts of the classical Lie theory. Most importantly, we define vertexmanifolds, which correspond ...
On the Lie algebra structure of the first Hochschild cohomology of gentle algebras and Brauer graph algebras
(Academic Press Inc Elsevier Science, 2020-09)
In this paper we determine the first Hochschild homology and cohomology with different coefficients for gentle algebras and we give a geometrical interpretation of these (co)homologies using the ribbon graph of a gentle ...
Lie algebroids arising from simple group schemes
(Academic Press Inc Elsevier Science, 2017-10)
A classical construction of Atiyah assigns to any (real or complex) Lie group G, manifold M and principal homogeneous G-space P over M, a Lie algebroid over M ([1]). The spirit behind our work is to put this work within ...
Lie bialgebra structures on 2-step nilpotent graph algebras
(Academic Press Inc Elsevier Science, 2018-07)
We generalize a result on the Heisenberg Lie algebra that gives restrictions to possible Lie bialgebra cobrackets on 2-step nilpotent algebras with some additional properties. For the class of 2-step nilpotent Lie algebras ...
Lie–Rinehart and Hochschild cohomology for algebras of differential operators
(Elsevier Science, 2021-01)
Let be a Lie–Rinehart algebra such that L is S-projective and let U be its universal enveloping algebra. In this paper we present a spectral sequence which converges to the Hochschild cohomology of U with values on a ...
A distinguished example of filiform deformation
(World Scientific, 2020-09-27)
We exhibit the first example of a non-rigid complex filiform Lie algebra with all its codimension 1 ideals being characteristically nilpotent by constructing an explicit nontrivial filiform deformation of it.
Conjugacy of Cartan subalgebras in EALAs with a non-fgc centreless core
(American Mathematical Society, 2017-12)
We establish the conjugacy of Cartan subalgebras for extended affine Lie algebras whose centreless core is “of type A”, i.e., ℓ×ℓ-matrices over a quantum torus Q whose trace lies in the commutator space of Q. This settles ...
Locally conformal symplectic structures on Lie algebras of type i and their solvmanifolds
(De Gruyter, 2019-05-01)
We study Lie algebras of type I, that is, a Lie algebra g where all the eigenvalues of the operator ad X are imaginary for all X g. We prove that the Morse-Novikov cohomology of a Lie algebra of type I is trivial for any ...
On conjugacy of Cartan subalgebras in extended affine Lie algebras
(Academic Press Inc Elsevier Science, 2016-02)
That finite-dimensional simple Lie algebras over the complex numbers can be classified by means of purely combinatorial and geometric objects such as Coxeter-Dynkin diagrams and indecomposable irreducible root systems, is ...