Results 141 to 150 of about 277 (187)

On the Converse of Pansu's Theorem. [PDF]

open access: yesArch Ration Mech Anal
De Philippis G   +4 more
europepmc   +1 more source

Majorana quasiparticles and topological phases in 3D active nematics. [PDF]

open access: yesProc Natl Acad Sci U S A
Head LC   +10 more
europepmc   +1 more source

Lie Algebras with Nilpotent Centralizers

Canadian Journal of Mathematics, 1979
We consider finite dimensional Lie algebras over an algebraically closed field F of arbitrary characteristic. Such an algebra L will be called a centralizer nilpotent Lie algebra (abbreviated c.n.) provided that the centralizer C(x) is a nilpotent subalgebra of L for all nonzero x ∈ L.For each algebraically closed F, there is a unique simple Lie ...
Benkart, G. M., Isaacs, I. M.
openaire   +1 more source

The nilpotence degree of quantum Lie nilpotent algebras

International Journal of Algebra and Computation, 2018
We consider the quantum analog of the Lie commutator [Formula: see text] for an invertible element [Formula: see text] of the ground field and prove lower and upper bounds for the nilpotence degree of an associative algebra satisfying an identity of the form [Formula: see text].
Elena Kireeva, Vladimir Shchigolev
openaire   +1 more source

Characteristically nilpotent Lie algebras

Algebra and Logic, 1989
The author gives a big class of characteristically nilpotent Lie algebras in any dimension \(\geq 15\) and discusses their geometric interpretation.
openaire   +2 more sources

Degenerations of Nilpotent Lie Algebras

Journal of Lie Theory, 1999
Summary: In this paper we study degenerations of nilpotent Lie algebras. If \(\lambda,\mu\) are two points in the variety of nilpotent Lie algebras, then \(\lambda\) is said to degenerate to \(\mu\), \(\lambda \rightarrow_{\text{deg}} \mu\), if \(\mu\) lies in the Zariski closure of the orbit of \(\lambda\).
openaire   +3 more sources

Derivation Algebras of Certain Nilpotent Lie Algebras

Journal of Lie Theory, 2001
Let \(L\) be a nilpotent Lie algebra and for \(x\in L\), \(\text{ad}(x): y\mapsto [x,y]\) for all \(y\in L\) the adjoint operator. For all \(x\in L-[L,L]\), let \(c(x)= (c_1(x), c_1(x),\dots, 1)\) be the sequence, in decreasing order of the characteristic subspaces of the nilpotent operator \(\text{ad}(x)\).
Cabezas, J. M., Gómez, J. R.
openaire   +2 more sources

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