Results 61 to 70 of about 156 (136)
ABSTRACT In this work, we present an anisotropic multi‐goal error control based on the dual weighted residual (DWR) method for time‐dependent convection–diffusion–reaction (CDR) equations. Motivated by former work, we combine multiple goals to single error functionals with weights chosen as algorithmic parameters.
Markus Bause +5 more
wiley +1 more source
The Structure of Primitive Leibniz Algebras via Maximal Subalgebras
In this paper, we investigate the structure of primitive Leibniz algebras via their maximal subalgebras and minimal ideals. Using a two-sided definition of the centraliser, we show that the centraliser of a minimal ideal is again an ideal. Unlike the Lie
Zekiye Çiloğlu Şahin
doaj +1 more source
Flow Decomposition by Optimal Balance With Time‐Averaging
Abstract Decomposing oceanic and atmospheric flow fields into their slowly evolving balanced components and fast evolving wave components is essential to study processes like spontaneous or stimulated wave emission. However, a decomposition into the linear geostrophic (slow) and non‐geostrophic (fast) components is often not precise enough to address ...
Silvano Gordian Rosenau +2 more
wiley +1 more source
Leibniz algebras of dimension 3 over finite fields
The first thing in the study of all types of algebras is the description of algebras having small dimensions. Unlike the simpler cases of 1- and 2-dimensional Leibniz algebras, the structure of 3-dimensional Leibniz algebras is more complicated.
V.S. Yashchuk
doaj +1 more source
Characterizing Inner Automorphisms and Realizing Outer Automorphisms [PDF]
We give elementary proofs of the following two theorems on automorphisms of a finite group G: (1) An automorphism of G is inner if and only if it extends to an automorphism of every finite group containing G.
Benjamin Sambale
doaj +1 more source
On Engel's Theorem for Leibniz Algebras [PDF]
2 pages.
openaire +2 more sources
Nilpotent Lie and Leibniz Algebras [PDF]
We extend results on finite dimensional nilpotent Lie algebras to Leibniz algebras and counterexamples to others are found. One generator algebras are used in these examples and are investigated further.
Ray, Chelsie Batten +5 more
openaire +2 more sources
The singularity category and duality for complete intersection groups
Abstract If G$G$ is a finite group, the structure of the modular representation theory depends on the cochains C∗(BG;k)$C^*(BG; k)$, viewed as a commutative ring spectrum. We consider here its singularity category (in the sense of the author and Stevenson [Adv. Math.
J. P. C. Greenlees
wiley +1 more source
Metriplectic Algebra for Dissipative Fluids in Lagrangian Formulation
The dynamics of dissipative fluids in Eulerian variables may be derived from an algebra of Leibniz brackets of observables, the metriplectic algebra, that extends the Poisson algebra of the frictionless limit of the system via a symmetric semidefinite ...
Massimo Materassi
doaj +1 more source
Versal Deformations of Leibniz Algebras [PDF]
AbstractIn this work we consider deformations of Leibniz algebras over a field of characteristic zero. The main problem in deformation theory is to describe all non-equivalent deformations of a given object. We give a method to solve this problem completely, namely work out a construction of a versal deformation for a given Leibniz algebra, which ...
Fialowski, Alice +2 more
openaire +3 more sources

