Results 1 to 10 of about 5,104 (141)
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
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Morita equivalence of certain crossed products [PDF]
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
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Brauer groups of moduli of hyperelliptic curves via cohomological invariants
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
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THE BRAUER GROUP OF THE DIHEDRAL GROUP [PDF]
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.
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The equivariant Brauer group of a group [PDF]
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
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Molecular Analysis of Parasitoid Flies Tachinidae
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
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Irreducible Characters with Cyclic Anchor Group
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
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Spaces of states of the two-dimensional $O(n)$ and Potts models
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
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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
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A Review of Matrix SIR Arino Epidemic Models
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
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