Results 81 to 90 of about 568 (161)

Symmetry analysis, dynamical behavior, and conservation laws of the dual-mode nonlinear fluid model

Ain Shams Engineering Journal
The study aims to analyze conservation laws and dynamics of the dual-mode Gardner equation for ideal fluid models. Lie symmetry analysis is applied to find symmetry generators, which in turn describe translation symmetries and abelian algebra. Lie theory
Adil Jhangeer, Beenish, Lubomír Říha
doaj   +1 more source

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   +1 more source

Minimal inversion complete sets and maximal abelian ideals

Journal of Algebra, 2016
Let $\mathfrak g$ be a simple Lie algebra, $\mathfrak b$ a fixed Borel subalgebra, and $W$ the Weyl group of $\mathfrak g$. In this note, we study a relationship between the maximal abelian ideals of $\mathfrak b$ and the minimal inversion complete sets of $W$. The latter have been recently defined by Malvenuto et al. (J. Algebra, 424 (2015), 330-356.)
openaire   +3 more sources

Notes on Number Theory

Mathematics
This paper presents a set of survey-style notes linking core themes of pure algebra with central topics in algebraic and analytic number theory. We begin with finite extensions of Q and describe algebraic number fields through their realization as finite-
Miroslav Stoenchev, Slavi Georgiev, Venelin Todorov   +2 more
doaj   +1 more source

Bosonization of 2+1 dimensional fermions on the surface of topological insulators

Journal of High Energy Physics
Three-dimensional topological insulators can be described by an effective field theory involving two ‘hydrodynamic’ Abelian gauge fields. The action contains a bulk topological BF term and a surface term, called loop model.
Andrea Cappelli, Lorenzo Maffi, Riccardo Villa   +2 more
doaj   +1 more source

The nature of low-temperature spin-freezing in frustrated Kitaev magnets

Communications Materials
The subtle interplay between competing degrees of freedom, anisotropy, and spin correlations in frustrated Kitaev magnets offers an ideal platform to host non-trivial spin freezing and exotic low-energy excitations.
U. Jena, P. Khuntia
doaj   +1 more source

Abelian subalgebras and ideals of maximal dimension in Poisson algebras

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 $α$ and $β$ for Poisson algebras, which correspond to the dimension of an abelian subalgebra and ideal of maximal dimension, respectively. We prove that these invariants coincide if $α(\mathcal{P}) =
A. Fernández Ouaridi, R.M. Navarro, D.A. Towers   +2 more
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Ideals in convolution algebras on Abelian groups [PDF]

Pacific Journal of Mathematics, 1974
openaire   +3 more sources

Tensor ideals of abelian type and quantum groups

We initiate a study of tensor ideals in linear rigid monoidal categories that are kernels of linear monoidal functors to abelian monoidal categories. We develop general methods and apply them to the category of tilting modules over quantum groups as well as to some representation categories of finite groups.
Coulembier, Kevin, Etingof, Pavel, Ostrik, Victor   +2 more
openaire   +2 more sources

Non-isomorphic abelian varieties with the same arithmetic. [PDF]

R Soc Open Sci
Bell J.
europepmc   +1 more source