Results 101 to 110 of about 621 (193)

Subgroups of an abelian group, related ideals of the group ring, and quotients by those ideals

CoRR, 2019
Let $RG$ be the group ring of an abelian group $G$ over a commutative ring $R$ with identity. An injection $Φ$ from the subgroups of $G$ to the non-unit ideals of $RG$ is well-known. It is defined by $Φ(N)=I(R,N)RG$ where $I(R,N)$ is the augmentation ideal of $RN$, and each ideal $Φ(N)$ has a property : $RG/Φ(N)$ is $R$-algebra isomorphic to $R(G/N ...
openaire   +2 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

Remarks on the abelian ideals of a Borel subalgebra

, 2013
Let $\frb$ be a fixed Borel subalgebra of a finite-dimensional complex simple Lie algebra $\frg$. The Shi bijection associates to every ad-nilpotent ideal $\fri$ of $\frb$ a region $V_{\fri}$. In this paper, we show that $\fri$ is abelian if and only if $V_{\fri}\cap 2A$ is empty, if and only if the volume of $V_{\fri}\cap 2A$ equals to that of $A ...
openaire   +2 more sources

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

Ideals in convolution algebras on Abelian groups [PDF]

Pacific Journal of Mathematics, 1974
openaire   +3 more sources

Exploitation of Complex Abelian Point Groups in Quantum-Chemical Calculations. [PDF]

J Phys Chem A
Kitsaras MP, Stopkowicz S.
europepmc   +1 more source

Thouless quantum walks in topological flat bands. [PDF]

Light Sci Appl
Danieli C, Conti C, Pilozzi L, Brosco V.
europepmc   +1 more source

The Direct-Product Decomposition Approach for Symmetry Exploitation in Many-Body Methods in Case of Non-Abelian Point Groups. [PDF]

J Phys Chem A
Hellmann M, Gauss J.
europepmc   +1 more source

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

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