Results 1 to 10 of about 2,170 (97)
On generic G-graded Azumaya algebras [PDF]
Advances in Mathematics, 2022 Let $F$ be an algebraically closed field of characteristic zero and let $G$ be a finite group. Consider $G$-graded simple algebras $A$ which are finite dimensional and $e$-central over $F$, i.e. $Z(A)_{e} := Z(A)\cap A_{e} = F$. For any such algebra we construct a \textit{generic} $G$-graded algebra $\mathcal{U}$ which is \textit{Azumaya} in the ...
Eli Aljadeff, Yakov Karasik
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Counterexamples in involutions of Azumaya algebras
Journal of Algebra21 ...
Ben Williams
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Homology of Azumaya algebras [PDF]
Proceedings of the American Mathematical Society, 1994 If R is a commutative k-algebra, any Azumaya R-algebra has the same Hochschild homology as R does.
Cortiñas, G., Weibel, C.
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Azumaya Algebras and Canonical Components [PDF]
International Mathematics Research Notices, 2020 AbstractLet $M$ be a compact 3-manifold and $\Gamma =\pi _1(M)$. Work by Thurston and Culler–Shalen established the ${\operatorname{\textrm{SL}}}_2({\mathbb{C}})$ character variety $X(\Gamma )$ as fundamental tool in the study of the geometry and topology of $M$.
Chinburg, Ted +2 more
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Involutions of Azumaya Algebras
Documenta Mathematica, 2020 We consider the general circumstance of an Azumaya algebra A of degree n over a locally ringed topos (\mathbf{X}, \mathcal
First, Uriya A., Williams, Ben
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Azumaya algebras without involution [PDF]
Journal of the European Mathematical Society, 2018 Generalizing a theorem of Albert, Saltman showed that an Azumaya algebra A over a ring represents a 2-torsion class in the Brauer group if and only if there is an algebra A’
Auel, Asher +2 more
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Decomposition of topological Azumaya algebras [PDF]
Canadian Mathematical Bulletin, 2021 AbstractLet $\mathscr {A}$ be a topological Azumaya algebra of degree $mn$ over a CW complex X. We give conditions for the positive integers m and n, and the space X so that $\mathscr {A}$ can be decomposed as the tensor product of topological Azumaya algebras of degrees m and n.
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Axioms, 2015 The definition of Azumaya algebras over commutative rings \(R\) requires the tensor product of modules over \(R\) and the twist map for the tensor product of any two \(R\)-modules.
Bachuki Mesablishvili, Robert Wisbauer
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Noncommutative motives of Azumaya algebras [PDF]
, 2013 Let k be a base commutative ring, R a commutative ring of coefficients, X a quasi-compact quasi-separated k-scheme, A a sheaf of Azumaya algebras over X of rank r, and Hmo(R) the category of noncommutative motives with R-coefficients.
Bergh, Michel Van den, Tabuada, Goncalo
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Higher Deformations of Lie Algebra Representations II [PDF]
, 2020 Steinberg's tensor product theorem shows that for semisimple algebraic groups the study of irreducible representations of higher Frobenius kernels reduces to the study of irreducible representations of the first Frobenius kernel.
Westaway, Matthew
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