Results 11 to 20 of about 9,057,349 (234)
Gelfand Models for Diagram Algebras [PDF]
Discrete Mathematics & Theoretical Computer Science, 2013 A Gelfand model for a semisimple algebra $\mathsf{A}$ over $\mathbb{C}$ is a complex linear representation that contains each irreducible representation of $\mathsf{A}$ with multiplicity exactly one.
Tom Halverson
doaj +1 more source
Motivic classes and the integral Hodge Question
Comptes Rendus. Mathématique, 2021 We prove that the obstruction to the integral Hodge Question factors through the completion of the Grothendieck ring of varieties for the dimension filtration.
Scavia, Federico
doaj +1 more source
, 2021 This monograph provides a systematic treatment of the Brauer group of schemes, from the foundational work of Grothendieck to recent applications in arithmetic and algebraic geometry.
Colliot-Thélène, J., Skorobogatov, A.
core +1 more source
Invariant Brauer group of an abelian variety [PDF]
, 2021 We study a new object that can be attached to an abelian variety or a complex torus: the invariant Brauer group, as recently defined by Yang Cao. Over the field of complex numbers this is an elementary abelian 2-group with an explicit upper bound on the ...
Valloni, Domenico +9 more
core +1 more source
Report on the Brauer-Thrall conjectures: Rojter's theorem and the theorem of Nazarova and Rojter (on algorithms for solving vectorspace problems. I) [PDF]
, 1980 Ringel CM. Report on the Brauer-Thrall conjectures: Rojter's theorem and the theorem of Nazarova and Rojter (on algorithms for solving vectorspace problems. I). In: Dlab V, Gabriel P, eds. Representation Theory I.
Dlab, Vlastimil +3 more
core +1 more source
Solutions of the Yang–Baxter Equation Arising from Brauer Configuration Algebras
Computation, 2022 Currently, researching the Yang–Baxter equation (YBE) is a subject of great interest among scientists of diverse areas in mathematics and other sciences. One of the fundamental open problems is to find all of its solutions.
Agustín Moreno Cañadas +2 more
doaj +1 more source
The Brauer group is torsion [PDF]
Proceedings of the American Mathematical Society, 1981 In [3], a well-known fact about the Brauer group of a field was generalized to show that the Brauer group of a commutative ring was torsion. In fact, if A is Azumaya of constant rank n2 over R, then A (= A OR O * R A) ~ EndR(P) for P an progenerator. In this note we will present a relatively elementary proof of this theorem, and we will also describe P
openaire +2 more sources
On the arithmetic of del Pezzo surfaces of degree 2 [PDF]
, 2004 We study the arithmetic of certain del Pezzo surfaces of degree 2. We produce examples of Brauer-Manin obstruction to the Hasse principle, coming from 2- and 4-torsion elements in the Brauer ...
Kresch, A. +5 more
core +1 more source
Моделирование и анализ информационных систем, 2016 Let V be a smooth projective variety over a global field k = κ(C) of rational functions on a smooth projective curve C over a finite field Fq of characteristic p.
T. V. Prokhorova
doaj +1 more source
Irreducible Characters with Cyclic Anchor Group
Axioms, 2023 We consider G to be a finite group and p as a prime number. We fix ψ to be an irreducible character of G with its restriction to all p-regular elements of G and ψ0 to be an irreducible Brauer character.
Manal H. Algreagri, Ahmad M. Alghamdi
doaj +1 more source