Results 1 to 10 of about 5,104 (141)

The Brauer–Clifford group

open access: yesJournal of Algebra, 2009
Let \(G\) be a finite group, \(F\) a field, and \(Z\) a commutative central simple \(G\)-algebra. In this paper the author introduces the Brauer-Clifford group \(\text{BrCliff}(G,Z)\). This group consists of certain equivalence classes of central simple \(G\)-algebras, and the product is associated with the tensor product of algebras.
Alexandre Turull
exaly   +4 more sources

Morita equivalence of certain crossed products [PDF]

open access: yesCategories and General Algebraic Structures with Applications, 2023
We introduce an alternative criterion for Morita equivalence over graded tensor categories using equivariant centers and equivariantizations. While Morita equivalence has been extensively studied in the context of fusion categories, primarily through the
Adriana Mejia Castaño
doaj   +1 more source

Brauer groups of moduli of hyperelliptic curves via cohomological invariants

open access: yesForum of Mathematics, Sigma, 2021
Using the theory of cohomological invariants for algebraic stacks, we compute the Brauer group of the moduli stack of hyperelliptic curves ${\mathcal {H}}_g$ over any field of characteristic $0$.
Andrea Di Lorenzo, Roberto Pirisi
doaj   +1 more source

THE BRAUER GROUP OF THE DIHEDRAL GROUP [PDF]

open access: yesGlasgow Mathematical Journal, 2004
Let $p^m$ be a power of a prime number $p$, $\mathbb{Dacute;_{p^m}$ be the dihedral group of order $2p^m$ and $k$ be a field where $p$ is invertible and containing a primitive $2p^m$-th root of unity. The aim of this paper is computing the Brauer group $BM(k,\mathbb{D}_{p^m},R_z)$ of the group Hopf algebra of $\mathbb{D}_{p^m}$ with respect to the ...
CARNOVALE, G., CUADRA, J.
openaire   +2 more sources

The equivariant Brauer group of a group [PDF]

open access: yesProceedings of the American Mathematical Society, 2005
We consider the Brauer group ${\rm BM}'(k,G)$ of a group $G$ (finite or infinite) over a commutative ring $k$ with identity. A split exact sequence $$1\longrightarrow {\rm Br}'(k)\longrightarrow {\rm BM}'(k,G)\longrightarrow {\rm Gal}(k,G) \longrightarrow 1$$ is obtained. This generalizes the Fröhlich-Wall exact sequence from the case of a field to the
Caenepeel, Stefaan   +2 more
openaire   +5 more sources

Molecular Analysis of Parasitoid Flies Tachinidae

open access: yesRUDN Journal of Agronomy and Animal Industries, 2022
The parasitoids from Tachinidae family have important role in biological control; nevertheless, the phylogenetic relationships of supra genera groups are poorly studied. Here, we present phylogenetic analyses of the family based on molecular data.
El-Sayed El-Hashash Arafa
doaj   +1 more source

Irreducible Characters with Cyclic Anchor Group

open access: yesAxioms, 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

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

open access: yesSciPost 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

Corrigendum: Abelian n-division fields of elliptic curves and Brauer groups of product Kummer & abelian surfaces

open access: yesForum of Mathematics, Sigma, 2020
There is an error in the statement and proof of [VAV17, Proposition 5.1] that affects the statements of [VAV17, Corollaries 5.2 and 5.3]. In this note, we correct the statement of [VAV17, Proposition 5.1] and explain how to rectify subsequent statements.
Anthony Várilly-Alvarado, Bianca Viray
doaj   +1 more source

A Review of Matrix SIR Arino Epidemic Models

open access: yesMathematics, 2021
Many of the models used nowadays in mathematical epidemiology, in particular in COVID-19 research, belong to a certain subclass of compartmental models whose classes may be divided into three “(x,y,z)” groups, which we will call respectively “susceptible/
Florin Avram   +2 more
doaj   +1 more source

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