Results 1 to 10 of about 633,805 (104)

The derived Picard group of an affine Azumaya algebra [PDF]

Selecta Mathematica, New Series, 2016
We describe the derived Picard group of an Azumaya algebra A on an affine scheme X in terms of global sections of the constant sheaf of integers on X, the Picard group of X, and the stabilizer of the Brauer class of A under the action of Aut(X).
Negron, Cris
exaly   +5 more sources

Pinching Azumaya algebras [PDF]

Journal of Pure and Applied Algebra, 2022
We show, that for a morphism of schemes from X to Y, that is a finite modification in finitely many closed points, a cohomological Brauer class on Y is represented by an Azumaya algebra if its pullback to X is represented by an Azumaya algebra.
Johannes J. Fischer
semanticscholar   +5 more sources

Azumaya locus over certain quantum symplectic spaces II

Comptes Rendus. Mathématique
This article undertakes an exploration of a particular variant of multiparameter quantum symplectic algebras, focusing specifically on the quantum Heisenberg algebra at the roots of unity.
Mukherjee, Snehashis
doaj   +2 more sources

On the Gersten–Witt complex of an Azumaya algebra with involution [PDF]

, 2021
Let (A,σ) be an Azumaya algebra with involution over a regular ring R. We prove that the Gersten–Witt complex of (A, σ) defined by Gille is isomorphic to the Gersten–Witt complex of (A, σ) defined by Bayer-Fluckiger, Parimala and the author.
Uriya A. First
semanticscholar   +1 more source

Epsilon-strongly graded rings: Azumaya algebras and partial crossed products [PDF]

Forum mathematicum, 2022
Let G be a group, let A = ⊕ g ∈ G A g {A=\bigoplus_{g\in G}A_{g}} be an epsilon-strongly graded ring over G, let R := A 1 {R:=A_{1}} be the homogeneous component associated with the identity of G, and let 𝙿𝚒𝚌𝚂 ⁢ ( R ) {\mathtt{PicS}(R)} be the Picard ...
Dirceu Bagio, L. Mart'inez, H. Pinedo
semanticscholar   +1 more source

The octonions form an Azumaya algebra in certain braided linear Gr-categories [PDF]

Advances in Applied Clifford Algebras, 2015
By applying the idea of viewing the octonions as an associative algebra in certain tensor categories, or more precisely as a twisted group algebra by a 2-cochain, we show that the octonions form an Azumaya algebra in some suitable braided linear Gr ...
Tao Cheng, Hua-Lin Huang, Yuping Yang, Yinhuo Zhang   +3 more
semanticscholar   +1 more source

Azumaya Monads and Comonads

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
doaj   +1 more source

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
core   +2 more sources

Topological Hochschild cohomology and generalized Morita equivalence [PDF]

, 2004
We explore two constructions in homotopy category with algebraic precursors in the theory of noncommutative rings and homological algebra, namely the Hochschild cohomology of ring spectra and Morita theory.
Andrew Baker, Andrey Lazarev, Generalized Morita Equivalence   +2 more
core   +3 more sources

Centers and Azumaya loci for finite W-algebras in positive characteristic

Mathematical Proceedings of the Cambridge Philosophical Society, 2021
In this paper, we study the center Z of the finite W-algebra $${\mathcal{T}}({\mathfrak{g}},e)$$ associated with a semi-simple Lie algebra $$\mathfrak{g}$$ over an algebraically closed field $$\mathbb{k}$$ of characteristic p≫0, and an arbitrarily ...
B. Shu, Yang Zeng
semanticscholar   +1 more source