Results 111 to 120 of about 538,257 (210)

Zassenhaus varieties of general linear Lie algebras

, 2005
Let g be a Lie algebra over an algebraically closed field of characteristic p>0 and let U be the universal enveloping algebra of g. We prove in this paper for g=gl_n and g=sl_n that the centre Z of U is a unique factorisation domain and that its field
Premet, Alexander; id_orcid, Alexander Premet, Tange, R.H., Rudolf Tange, Tange, Rudolf, Premet, A.A.   +5 more
core   +1 more source

Invariant metrics on nilpotent Lie algebras

Acta et Commentationes Universitatis Tartuensis de Mathematica
In this work we state criteria for a nilpotent Lie algebra  g  to admit an invariant metric. We use that g possesses two  canonical abelian ideals  i(g) ⊂ J(g) to decompose the underlying vector space of g. By using this decomposition we state sufficiency conditions for g to admit an invariant metric.
openaire   +3 more sources

Construction of nice nilpotent Lie groups

, 2019
We illustrate an algorithm to classify nice nilpotent Lie algebras of dimension n up to a suitable notion of equivalence; applying the algorithm, we obtain complete listings for n≤9. On every nilpotent Lie algebra of dimension ≤7, we determine the number
Conti, D, Diego Conti, Federico A. Rossi, Rossi, FA   +3 more
core   +1 more source

Symplectic Foliation Structures of Non-Equilibrium Thermodynamics as Dissipation Model: Application to Metriplectic Nonlinear Lindblad Quantum Master Equation. [PDF]

Entropy (Basel), 2022
Barbaresco F.
europepmc   +1 more source

Polynomial and horizontally polynomial functions on Lie groups. [PDF]

Ann Mat Pura Appl, 2022
Antonelli G, Le Donne E.
europepmc   +1 more source

Cohomology of some Nilpotent Lie Algebras

, 2016
The nilpotent Lie algebras dealt with in the paper under review are the naturally graded quasi-filiform Lie algebras, recently classified by J. R. Gómez and A. Jiménez-Merchán. Recall that if \({\mathfrak g}\) is a nilpotent Lie algebra, then it is quasi-filiform if \(\dim{\mathfrak g}-2\) is the least number \(k\) such that the \(k\)-th term ...
Camacho Santana, Luisa María, Gómez Martín, José Ramón, Navarro Olmo, Rosa María   +2 more
openaire   +3 more sources

Graded hypoellipticity of BGG sequences. [PDF]

Ann Glob Anal Geom (Dordr), 2022
Dave S, Haller S.
europepmc   +1 more source

Analytic Torsion of Generic Rank Two Distributions in Dimension Five. [PDF]

J Geom Anal, 2022
Haller S.
europepmc   +1 more source

Surface measure on, and the local geometry of, sub-Riemannian manifolds. [PDF]

Calc Var Partial Differ Equ, 2023
Don S, Magnani V.
europepmc   +1 more source

On sufficient density conditions for lattice orbits of relative discrete series. [PDF]

Arch Math, 2022
Enstad U, van Velthoven JT.
europepmc   +1 more source