Results 21 to 30 of about 6,101 (197)

Brauer theory for profinite groups

Journal of Algebra, 2014
Brauer Theory for a finite group can be viewed as a method for comparing the representations of the group in characteristic 0 with those in prime characteristic. Here we generalize much of the machinery of Brauer theory to the setting of profinite groups.
MacQuarrie, John, Symonds, Peter
openaire   +4 more sources

The Picard group of Brauer-Severi varieties

Open Mathematics, 2018
In this paper, we provide explicit generators for the Picard groups of cyclic Brauer-Severi varieties defined over the base field. In particular,we provide such generators for all Brauer-Severi surfaces.
Badr Eslam, Bars Francesc, García Elisa Lorenzo   +2 more
doaj   +1 more source

Spaces of states of the two-dimensional $O(n)$ and Potts models

SciPost Physics, 2023
We determine the spaces of states of the two-dimensional $O(n)$ and $Q$-state Potts models with generic parameters $n,Q\in \mathbb{C}$ as representations of their known symmetry algebras.
Jesper Lykke Jacobsen, Sylvain Ribault, Hubert Saleur
doaj   +1 more source

Uniform distribution of Hasse invariants

International Journal of Mathematics and Mathematical Sciences, 1985
I. Schur's study of simple algebras around the turn of the century, and subsequent investigations by R. Brauer, E. Witt and others, were later reformulated in terms of what is now called the Schur subgroup of the Brauer group.
R. A. Mollin
doaj   +1 more source

On the Tate Conjectures for Divisors on a Fibred Variety and on its Generic Scheme Fibre in the Case of Finite Characteristic

Моделирование и анализ информационных систем, 2017
We investigate interrelations between the Tate conjecture for divisors on a fibred variety over a finite field and the Tate conjecture for divisors on the generic scheme fibre under the condition that the generic scheme fibre has zero irregularity. Let \(
Tatyana V. Prokhorova
doaj   +1 more source

Taking a Stand Against Air Pollution – The Impact on Cardiovascular Disease: A Joint Opinion from the World Heart Federation, American College of Cardiology, American Heart Association, and the European Society of Cardiology

Global Heart, 2021
Although the attention of the world and the global health community specifically is deservedly focused on the COVID-19 pandemic, other determinants of health continue to have large impacts and may also interact with COVID-19. Air pollution is one crucial
Michael Brauer, Barbara Casadei, Robert A. Harrington, Richard Kovacs, Karen Sliwa, the WHF Air Pollution Expert Group   +5 more
doaj   +1 more source

Boundedness of the p-primary torsion of the Brauer group of products of varieties

Forum of Mathematics, Sigma
Let k be a field finitely generated over its prime subfield. We prove that the quotient of the Brauer group of a product of varieties over k by the sum of the images of the Brauer groups of factors has finite exponent.
Alexei Skorobogatov, Alexander Petrov
doaj   +1 more source

Graded Brauer Groups.

crll, 1964
Author's introduction: This paper arose out of the observation that the definition of a Clifford algebra as an invariant of a quadratic form is made awkward by the fact that the algebra corresponding to the orthogonal direct sum of two quadratic forms is not simply the tensor product of their separate Clifford algebras.
openaire   +2 more sources

The Brauer group and the Brauer–Manin set of products of varieties [PDF]

Journal of the European Mathematical Society, 2014
Let X and Y be smooth and projective varieties over a field k finitely generated ...
Alexei N. Skorobogatov, Yuri G. Zarhin
openaire   +4 more sources

More on the Schur group of a commutative ring

International Journal of Mathematics and Mathematical Sciences, 1985
The Schur group of a commutative ring, R, with identity consists of all classes in the Brauer group of R which contain a homomorphic image of a group ring RG for some finite group G.
R. A. Mollin
doaj   +2 more sources