Results 261 to 270 of about 181,912 (296)

Extension of the product of a post-Lie algebra and application to the SISO feedback transformation group

, 2016
We describe the both post-and pre-Lie algebra g SISO associated to the affine SISO feedback transformation group. We show that it is a member of a family of post-Lie algebras associated to representations of a particular solvable Lie algebra.
L. Foissy
semanticscholar   +1 more source

Cohomology of solvable lie algebras and solvmanifolds

Mathematical Notes, 2005
The author studies the de Rham complex of a compact solvmanifold \(M\) with a deformed differential \(d + \omega\) where \(\omega\) is a closed one-form. The cohomology of such a complex naturally appears in the Morse-Novikov theory, i.e. the analog of the classical Morse theory for smooth closed one-forms.
openaire   +2 more sources

Solvable Leibniz algebras with quasi-filiform Lie algebras of maximum length nilradicals

Communications in Algebra, 2018
In this article, solvable Leibniz algebras, whose nilradical is quasi-filiform Lie algebra of maximum length, are classified. The rigidity of such Leibniz algebras with two-dimensional complemented space to the nilradical is proved. Communicated by K. C.
Kh. A. Muratova, M. Ladra, B. Omirov, A. Sattarov   +3 more
semanticscholar   +1 more source

On The Strong Rigidity Of Solvable Lie Algebras

2005
Abstract: We call a finite-dimensional complex Lie algebra g strongly rigid if its universal enveloping algebra Ug is rigid as an associative algebra, i.e. every formal associative deformation is equivalent to the trivial deformation. The aim of this paper is to study the strong rigidity properties of solvable Lie algebras.
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Solvable complete Lie algebras. II

1998
[For Part I, see Commun. Alg. 24, 4181-4197 (1996; Zbl 0897.17008).] The authors continue their investigation into the construction of complete Lie algebras. Previously, the second author showed [\textit{D. Meng}, Commun. Alg. 22, 5509-5524 (1994; Zbl 0814.17003)] that a Lie algebra \(L\) is complete if the dual space \(H^*\) of a Cartan subalgebra \(H\
Meng, Daoji, Zhu, Linsheng
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Lie solvability in matrix algebras

Linear and Multilinear Algebra, 2018
If an algebra A satisfies the polynomial identity [x1,y1][x2,y2]⋯[x2m,y2m]=0 (for short, A is D2m ), then A is trivially Lie solvable of index m+1 (for short, A is Lsm+1 ).
Leon van Wyk, Michał Ziembowski
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Solvable quadratic Lie algebras

Science in China Series A, 2006
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Nilpotent and Solvable Lie Algebras

1992
In this chapter k denotes a field, and in V.5, concerning the serious theorems on solvable Lie algebras, a field of characteristic 0. All Lie algebras and modules are finite dimensional over k.
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Local derivations on Solvable Lie algebras

Linear and Multilinear Algebra, 2021
Abror Khudoyberdiyev, Sh A Ayupov
exaly  

Study on Poisson Algebra and Automorphism of a Special Class of Solvable Lie Algebras

Symmetry, 2023
exaly