Results 61 to 70 of about 241,261 (215)
A trace–path integral formula over function fields
Journal of the London Mathematical Society, Volume 114, Issue 2, August 2026.Abstract We show that an arithmetic path integral over the ℓ$\ell$‐torsion of a Jacobian J[ℓ]$J[\ell]$ is equal to the trace of the Frobenius action on a representation of the Heisenberg group H(J[ℓ])$H(J[\ell])$, up to an explicitly determined sign.
Yan Yau Cheng
wiley +1 more source
Integral Hopf-Galois structures for tame extensions [PDF]
, 2013 We study the Hopf-Galois module structure of algebraic integers in some Galois extensions of p-adic fields L/K which are at most tamely ramified, generalizing some of the results of the author's 2011 paper cited below. If G=Gal(L/K) and H=L[N]G is a Hopf
Truman, Paul
core
Correspondence theorems for infinite Hopf-Galois extensions [PDF]
This paper extends Hopf-Galois theory to infinite field extensions and provides a natural definition of subextensions. For separable (possibly infinite) Hopf-Galois extensions, it provides a Galois correspondence.
WIESE, Gabor +2 more
core +4 more sources
On Azumaya Galois extensions and skew group rings
International Journal of Mathematics and Mathematical Sciences, 1999 Two characterizations of an Azumaya Galois extension of a ring are given in terms of the Azumaya skew group ring of the Galois group over the extension and a Galois extension of a ring with a special Galois system is determined by the trace of the Galois
George Szeto
doaj +1 more source
Galois Theory of Hopf Galois Extensions
, 2009 Section 5 removed. Shorter lattice theoretic introduction. Same main results.
Marciniak, Dorota, Szamotulski, Marcin
openaire +2 more sources
Heights on ‘hybrid orbits’ in Shimura varieties
Proceedings of the London Mathematical Society, Volume 133, Issue 2, August 2026.Abstract We prove the ‘hybrid conjecture’ which is a common generalisation of the André–Oort conjecture and the André–Pink–Zannier conjecture, in the case of Shimura varieties of abelian type.
Rodolphe Richard, Andrei Yafaev
wiley +1 more source
Characterization of image sets: the Galois Lattice approach [PDF]
, 2003 This paper presents a new method for supervised image classification. One or several landmarks are attached to each class, with the intention of characterizing it and discriminating it from the other classes.
Samuelides, Manuel +3 more
core
On 7‐adic Galois representations for elliptic curves over Q$\mathbb {Q}$
Proceedings of the London Mathematical Society, Volume 133, Issue 2, August 2026.Abstract In recent years, significant progress has been made on Mazur's Program B, with many authors beginning a systematic classification of all possible images of p$p$‐adic Galois representations attached to elliptic curves over Q$\mathbb {Q}$. Currently, the classification is only complete for p∈{2,3,13,17}$p \in \lbrace 2,3,13,17\rbrace$.
Lorenzo Furio, Davide Lombardo
wiley +1 more source
Extensões de álgebras obtidas a partir de álgebras de Hopf [PDF]
, 2012 Dissertação (mestrado) - Universidade Federal de Santa Catarina, Centro de Ciências Físicas e Matemáticas, Programa de Pós-graduação em Matemática e Computação Científica, Florianópolis, 2011Neste trabalho fazemos uma descrição completa do grupo quântico
Teixeira, Mateus Medeiros
core
Discrete Cartesian Coordinate Transformations: Using Algebraic Extension Methods
Applied SciencesIt is shown that it is reasonable to use Galois fields, including those obtained by algebraic extensions, to describe the position of a point in a discrete Cartesian coordinate system in many cases. This approach is applicable to any problem in which the
Aruzhan Kadyrzhan +3 more
doaj +1 more source