Results 71 to 80 of about 886,706 (230)
Jordan {g,h}-derivations on triangular algebras
Open Mathematics, 2020 In this article, we give a sufficient and necessary condition for every Jordan {g,h}-derivation to be a {g,h}-derivation on triangular algebras. As an application, we prove that every Jordan {g,h}-derivation on τ(N)\tau ({\mathscr{N}}) is a {g,h ...
Kong Liang, Zhang Jianhua
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Causality in Schwinger’s Picture of Quantum Mechanics
Entropy, 2022 This paper begins the study of the relation between causality and quantum mechanics, taking advantage of the groupoidal description of quantum mechanical systems inspired by Schwinger’s picture of quantum mechanics. After identifying causal structures on
Florio M. Ciaglia +5 more
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Nonlinear Lie derivations of triangular algebras
Linear Algebra and its Applications, 2010 Let \(\mathcal A\) be an algebra over a commutative ring \(\mathcal R\). A map \(\delta\colon\mathcal A\to\mathcal A\) is called an additive derivation if it is additive and satisfies \(\delta(xy)=\delta(x)y+x\delta(y)\) for all \(x,y\in\mathcal A\). If there exists an element \(a\in\mathcal A\) such that \(\delta(x)=[x,a]\) for all \(x\in\mathcal A\),
Yu, Weiyan, Zhang, Jianhua
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Functoriality of the BGG Category O
, 2008 This article aims to contribute to the study of algebras with triangular decomposition over a Hopf algebra, as well as the BGG Category O. We study functorial properties of O across various setups.
Khare, Apoorva
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Hochschild Cohomology of Triangular Matrix Algebras
Journal of Algebra, 2000 In the last years, the study of the Hochschild cohomology has played an important role in the representation theory of finite dimensional algebras. In the paper under review, the authoresses study the Hochschild cohomology of a triangular matrix algebra of the form \(B=\left(\begin{smallmatrix} R &0\\ M &A\end{smallmatrix}\right)\).
Michelena, Sandra, Platzeck, Maria Ines
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Invariants of unipotent transformations acting on noetherian relatively free algebras [PDF]
, 2004 The classical theorem of Weitzenboeck states that the algebra of invariants of a single unipotent transformation $g$ in $GL_m(K)$ acting on the polynomial algebra $K[x_1,...,x_m]$ over a field $K$ of characteristic 0 is finitely generated.
Drensky, Vesselin
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Lie triple derivation of the Lie algebra of strictly upper triangular matrix over a commutative ring
, 2009 Let N ( n , R ) be the nilpotent Lie algebra consisting of all strictly upper triangular n × n matrices over a 2-torsionfree commutative ring R with identity 1.
Hengtai Wang, Qingguo Li
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Triangular matrix algebras over Hensel rings [PDF]
Proceedings of the American Mathematical Society, 1973 Let (R, m) be a local Hensel ring and A an algebra over R which is finitely generated and projective as an R-module. If A contains a complete set of mutually orthogonal primitive idempotents e 1 , ⋯ , e n {e_1 ...
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Non-Abelian symmetries of the half-infinite XXZ spin chain
Nuclear Physics B, 2017 The non-Abelian symmetries of the half-infinite XXZ spin chain for all possible types of integrable boundary conditions are classified. For each type of boundary conditions, an analog of the Chevalley-type presentation is given for the corresponding ...
Pascal Baseilhac, Samuel Belliard
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Special Vinberg cones of rank 4
Journal of High Energy PhysicsE.B. Vinberg developed a theory of homogeneous convex cones $$C\subset V={\mathbb{R}}^{n}$$ , which has many applications. He gave a construction of such cones in terms of non-associative rank n matrix T-algebras $$\mathcal{T}$$ , that consist of vector ...
D. V. Alekseevsky, P. Osipov
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