Results 11 to 20 of about 1,263,781 (250)

Abelian Subalgebras and Ideals of Maximal Dimension in Poisson algebras [PDF]

Journal of Algebra
This paper studies the abelian subalgebras and ideals of maximal dimension of Poisson algebras $\mathcal{P}$ of dimension $n$. We introduce the invariants $\alpha$ and $\beta$ for Poisson algebras, which correspond to the dimension of an abelian ...
Amir Fernández Ouaridi, R. M. Navarro, D. Towers   +2 more
semanticscholar   +5 more sources

Absolute Ideals of Algebraically Compact Abelian Groups

Journal of Mathematical Sciences, 2021
The authors research an absolute ideal of an abelian group \(G\), i.e. subgroups of \(G\) such that there is an ideal in every ring whose additive group coincides with \(G\). The ring is called an AI-ring if any ideal is an absolute ideal of the additive group of this ring.
E. Kompantseva, P. T. Thuy
semanticscholar   +3 more sources

Demonstration of Algorithmic Quantum Speedup for an Abelian Hidden Subgroup Problem

Physical Review X
Simon’s problem is to find a hidden period (a bitstring) encoded into an unknown 2-to-1 function. It is one of the earliest problems for which an exponential quantum speedup was proven for ideal, noiseless quantum computers, albeit in the oracle model ...
Phattharaporn Singkanipa, Victor Kasatkin, Zeyuan Zhou, Gregory Quiroz, Daniel A. Lidar   +4 more
doaj   +2 more sources

A filtration associated to an abelian inner ideal of a Lie algebra [PDF]

Journal of Geometry and Physics, 2023
We would like to thank the referee for his/her careful reading of the paper and his/her useful comments and remarks.
Esther García, Miguel Gómez Lozano, Rubén Muñoz Alcázar   +2 more
openaire   +5 more sources

Absolute ideals of almost completely decomposable abelian groups

Journal of Group Theory, 2023
Abstract Let 𝐺 be an abelian group. A subgroup of 𝐺 is called an absolute ideal of 𝐺 if it is an ideal in any ring on 𝐺. In this paper, we describe the principal absolute ideals of groups in the class A ...
Kompantseva, Ekaterina, Tuganbaev, Askar
openaire   +3 more sources

The primitive ideal space of groupoid C^*-algebras for groupoids with Abelian isotropy [PDF]

Indiana University Mathematics Journal, 2021
We study the topology of the primitive ideal space of groupoid C∗algebras for groupoids with abelian isotropy. Our results include the known results for action groupoids with abelain stabilizers.
D. W. V. Wyk, Dana P. Williams
semanticscholar   +1 more source

Quantum geometric bound and ideal condition for Euler band topology [PDF]

Physical review B, 2023
Understanding the relationship between quantum geometry and topological invariants is a central problem in the study of topological states. In this work, we establish the relationship between the quantum metric and the Euler curvature in two-dimensional ...
Soonhyun Kwon, Bohm-Jung Yang
semanticscholar   +1 more source

On 7-dimensional algebras of holomorphic vector fields in $ \Bbb C^4 $, having a 5-dimensional abelian ideal

Dal'nevostochnyi Matematicheskii Zhurnal, 2023
In connection with the problem of describing holomorphically homogeneous real hypersurfaces in $ \Bbb C^4 $ we study in this article the 7-dimensional orbits of real Lie algebras in this space.
A. Loboda, R. Akopyan, V. Krutskikh
semanticscholar   +1 more source

Hermitian geometry of Lie algebras with abelian ideals of codimension 2 [PDF]

Mathematische Zeitschrift, 2022
We examine Hermitian metrics on unimodular Lie algebras which contains a J -invariant abelian ideal of codimension two, and give a classification for all Bismut Kähler-like and all Bismut torsion-parallel metrics on such Lie algebras.
Yuqin Guo, F. Zheng
semanticscholar   +1 more source

On analogs of some classical group-theoretic results in Poisson algebras

Доповiдi Нацiональної академiї наук України, 2021
We investigate the Poisson algebras, in which the n-th hypercenter (center) has a finite codimension. It was established that, in this case, the Poisson algebra P includes a finite-dimensional ideal K such that P/K is nilpotent (Abelian).
L.A. Kurdachenko, A.A. Pypka, I.Ya. Subbotin   +2 more
doaj   +1 more source