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
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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
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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 +5 more sources
The structure group for quasi-linear equations via universal enveloping algebras [PDF]
Communications of the American Mathematical Society, 2021 We replace trees by multi-indices as an index set of the abstract model space to tackle quasi-linear singular stochastic partial differential equations.
P. Linares, F. Otto, Markus Tempelmayr
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Derivations, Gradings, Actions of Algebraic Groups, and Codimension Growth of Polynomial Identities [PDF]
Algebras and Representation Theory, 2012 Suppose a finite dimensional semisimple Lie algebra $\mathfrak g$ acts by derivations on a finite dimensional associative or Lie algebra A over a field of characteristic 0.
A. Gordienko, M. Kochetov
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Algebras with representable representations [PDF]
Proceedings of the Edinburgh Mathematical Society, 2020 Just like group actions are represented by group automorphisms, Lie algebra actions are represented by derivations: up to isomorphism, a split extension of a Lie algebra $B$ by a Lie algebra $X$ corresponds to a Lie algebra morphism $B\to {\mathit {Der}}(
Xabier Garc'ia-Mart'inez +3 more
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Triangular algebras with nonlinear higher Lie n-derivation by local actions
AIMS Mathematics, 2023 This paper was devoted to the study of the so-called nonlinear higher Lie n-derivation of triangular algebras $ \mathcal{T} $, where $ n $ is a nonnegative integer greater than two.
Xinfeng Liang, Mengya Zhang
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Nonlinear Mixed Lie Triple Derivations by Local Actions on Von Neumann Algebras
Journal of Mathematical Study. As a generalization of global mappings, we study a class of non-global mappings in this note. Let A ⊆ B ( H ) be a von Neumann algebra without abelian direct summands. We prove that if a map δ : A → A satisfies δ ([[ A , B ] ∗ , C ]) = [[ δ ( A ) , B ]
Meilian Gao null, Xingpeng Zhao
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Characterizing N-type derivations on standard operator algebras by local actions
AIMS MathematicsOn an infinite dimensional complex Hilbert space $ \mathcal{H} $, we consider a standard operator algebra $ \mathcal{S} $ with an identity operator $ I $ that is closed with respect to adjoint operation.
K. Hakami +3 more
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Derivations and KMS-Symmetric Quantum Markov Semigroups. [PDF]
Commun Math Phys, 2023 Vernooij M, Wirth M.
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