Results 81 to 90 of about 1,826,401 (170)

TORSION GALOIS REPRESENTATIONS OVER CM FIELDS AND HECKE ALGEBRAS IN THE DERIVED CATEGORY

Forum of Mathematics, Sigma, 2016
We construct algebras of endomorphisms in the derived category of the cohomology of arithmetic manifolds, which are generated by Hecke operators. We construct Galois representations with coefficients in these Hecke algebras and apply this technique to ...
JAMES NEWTON, JACK A. THORNE
doaj   +1 more source

On the Galoisian Structure of Heisenberg Indeterminacy Principle [PDF]

, 2013
We revisit Heisenberg indeterminacy principle in the light of the Galois-Grothendieck theory for the case of finite abelian Galois extensions. In this restricted framework, the Galois-Grothendieck duality between finite K-algebras split by a Galois ...
Catren, Gabriel, Page, Julien
core  

Norm-Euclidean Galois fields [PDF]

, 2010
In this work, we study norm-Euclidean Galois number fields. In the quadratic setting, it is known that there are finitely many and they have been classified.
McGown, Kevin Joseph, Kevin Joseph Mcgown   +1 more
core  

Class number in non Galois quartic and non abelian Galois octic function fields over finite fields

, 2006
International audienceWe consider a totally imaginary extension of a real extension of a rational function field over a finite field of odd characteristic.
Aubry, Yves, Yves Aubry
core   +2 more sources

On local Galois deformation rings: generalised reductive groups

Forum of Mathematics, Pi
We study deformation theory of mod p Galois representations of p-adic fields with values in generalised reductive group schemes, such as L-groups and C-groups.
Vytautas Paškūnas, Julian Quast
doaj   +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  

On quadratic transformations of the Fano plane

Discrete and Continuous Models and Applied Computational Science
The importance of studying quadratic Cremona transformations over algebraically non-closed fields for the theory of Kahan difference schemes for dynamical systems with a quadratic right-hand side is discussed.
Ilshat T. Dulatov, Mikhail D. Malykh, Anton L. Sevastianov, Aleksander V. Zorin   +3 more
doaj   +1 more source

LOCAL EXTENSIONS WITH IMPERFECT RESIDUE FIELD

Ural Mathematical Journal, 2019
The paper deals with some aspects of general local fields and tries to elucidate some obscure facts. Indeed, several questions remain open, in this domain of research, and literature is getting scarce.
Akram Lbekkouri
doaj   +1 more source

Galois scaffolds and Galois module structure in extensions of characteristic p local fields of degree p2 [PDF]

, 2018
This is the author accepted manuscript. The final version is available from Elsevier via the DOI in this record.A Galois scaffold, in a Galois extension of local fields with perfect residue fields, is an adaptation of the normal basis to the valuation of
Byott, NP
core   +1 more source

PRIMITIVE MATRICES AND GENERATORS OF PSEUDO RANDOM SEQUENCES OF GALOIS

Ìнформаційні технології в освіті, 2014
In theory and practice of information cryptographic protection one of the key problems is the forming a binary pseudo-random sequences (PRS) with a maximum length with acceptable statistical characteristics.
A. Beletsky, E. Beletsky
doaj