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Differential Central Simple Algebras
, 2023 Differential central simple algebras are the main object of study in this survey article. We recall some crucial notions such as differential subfields, differential splitting fields, tensor products etc. Our main focus is on differential splitting fields which connects these objects to the classical differential Galois theory. We mention several known
Gupta, Parul +2 more
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Algebras whose right nucleus is a central simple algebra [PDF]
Journal of Pure and Applied Algebra, 2018 We generalize Amitsur's construction of central simple algebras over a field $F$ which are split by field extensions possessing a derivation with field of constants $F$ to nonassociative algebras: for every central division algebra $D$ over a field $F$ of characteristic zero there exists an infinite-dimensional unital nonassociative algebra whose right
Pumpluen, Susanne, S. Pumplün
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Involutions and anti-automorphisms of central simple algebras
Journal of Pure and Applied Algebra, 2003 The asymmetry of a nonsingular bilinear pairing \(b\) on a finite-dimensional vector space \(V\) is the endomorphism \(a_b\) of \(V\) defined by the condition \(b(y,x)=b(x,a_b(y))\) for all \(x,y\in V\). This notion was extended to linear anti-automorphisms of central simple algebras by \textit{A.~Cortella} and \textit{J.-P.~Tignol} [J.
Lewis, David W.
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The “Defektsatz” for central simple algebras [PDF]
Transactions of the American Mathematical Society, 1992 Let Q Q be a central simple algebra finite-dimensional over its center
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Embedding orders into central simple algebras [PDF]
Journal de théorie des nombres de Bordeaux, 2012 The question of embedding fields into central simple algebras B over a number field K was the realm of class field theory.
Linowitz, Benjamin, Shemanske, Thomas R.
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More on the Schur group of a commutative ring
International Journal of Mathematics and Mathematical Sciences, 1985 The Schur group of a commutative ring, R, with identity consists of all classes in the Brauer group of R which contain a homomorphic image of a group ring RG for some finite group G.
R. A. Mollin
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Rectangular W-algebras of types so(M) and sp(2M) and dual coset CFTs
Journal of High Energy Physics, 2019 We examine rectangular W-algebras with so(M) or sp(2M) symmetry, which can be realized as the asymptotic symmetry of higher spin gravities with restricted matrix extensions. We compute the central charges of the algebras and the levels of so(M) or sp(2M)
Thomas Creutzig +2 more
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Central simple algebras and Galois representations [PDF]
, 2009 This is a survey about connections between central simple algebras and Galois representations in the case of number fields.This is a survey about connections between central simple algebras and Galois representations in the case of number ...
Opolka, Hans
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Pseudo-differential equations, and the Bethe ansatz for the classical Lie algebras [PDF]
, 2007 The correspondence between ordinary differential equations and Bethe ansatz equations for integrable lattice models in their continuum limits is generalised to vertex models related to classical simple Lie algebras.
Dunning, Clare +4 more
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پژوهشهای ریاضی, 2021 Introduction Representation as well as central extension are two of the most important concepts in the theory of Lie (super)algebras. Apart from the interest of mathematicians, the attention of physicist are also drawn to these two subjects because of ...
Malihe Yousofzadeh
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