Results 1 to 10 of about 6,946 (173)
Characterization of Lie-Type Higher Derivations of von Neumann Algebras with Local Actions
Mathematics, 2023 Let m and n be fixed positive integers. Suppose that A is a von Neumann algebra with no central summands of type I1, and Lm:A→A is a Lie-type higher derivation.
Ab Hamid Kawa +4 more
doaj +2 more sources
Nonlinear Lie Triple Higher Derivations on Triangular Algebras by Local Actions: A New Perspective
Axioms, 2022 Let R be a commutative ring with unity and T be a triangular algebra over R. Let a sequence Δ={δn}n∈N of nonlinear mappings δn:T→T is a Lie triple higher derivation by local actions satisfying the equation.
Xinfeng Liang, Dandan Ren, Qingliu Li
doaj +3 more sources
Lie algebras of vertical derivations on semiaffine varieties with torus actions [PDF]
Journal of Pure and Applied Algebra, 2021 Let X be a normal variety endowed with an algebraic torus action. An additive group action $ $ on X is called vertical if a general orbit of $ $ is contained in the closure of an orbit of the torus action and the image of the torus normalizes the image of $ $ in Aut(X).
Arzhantsev, Ivan +2 more
openaire +3 more sources
Sextonians and the magic square [PDF]
, 2004 Associated to any complex simple Lie algebra is a non-reductive complex Lie algebra which we call the intermediate Lie algebra. We propose that these algebras can be included in both the magic square and the magic triangle to give an additional row and ...
Westbury, Bruce
core +3 more sources
An inner automorphism is only an inner automorphism, but an inner endomorphism can be something strange [PDF]
, 2011 The inner automorphisms of a group G can be characterized within the category of groups without reference to group elements: they are precisely those automorphisms of G that can be extended, in a functorial manner, to all groups H given with ...
Bergman, George M.
core +4 more sources
\'Etale Descent of Derivations [PDF]
, 2013 We study \'etale descent of derivations of algebras with values in a module. The algebras under consideration are twisted forms of algebras over rings, and apply to all classes of algebras, notably associative and Lie algebras, such as the multiloop ...
Neher, Erhard, Pianzola, Arturo
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Derivations of the Moyal Algebra and Noncommutative Gauge Theories [PDF]
, 2008 The differential calculus based on the derivations of an associative algebra underlies most of the noncommutative field theories considered so far. We review the essential properties of this framework and the main features of noncommutative connections ...
Wallet, Jean-Christophe
core +8 more sources
Existentially closed fields with G-derivations [PDF]
, 2015 We prove that the theories of fields with Hasse-Schmidt derivations corresponding to actions of formal groups admit model companions. We also give geometric axiomatizations of these model companions.Comment: In version 2: new proof of (the current ...
Hoffmann, Daniel, Kowalski, Piotr
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The irreducible modules for the derivations of the rational quantum torus
, 2014 Let $\bbcq$ be the quantum torus associated with the $d \times d$ matrix $q = (q_{ij})$, $q_{ii} = 1$, $q_{ij}^{-1} = q_{ji}$, $q_{ij}$ are roots of unity, for all $1 \leq i, j \leq d.$ Let $\Der(\bbcq)$ be the Lie algebra of all the derivations of ...
Batra, Punita +2 more
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Representations of Homotopy Lie-Rinehart Algebras
, 2014 I propose a definition of left/right connection along a strong homotopy Lie-Rinehart algebra. This allows me to generalize simultaneously representations up to homotopy of Lie algebroids and actions of strong homotopy Lie algebras on graded manifolds.
Vitagliano, Luca
core +1 more source