Results 11 to 20 of about 205,279 (307)
Causality in Schwinger’s Picture of Quantum Mechanics [PDF]
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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Triangular Bases in Quantum Cluster Algebras [PDF]
International Mathematics Research Notices, 2012 A lot of recent activity has been directed towards various constructions of "natural" bases in cluster algebras. We develop a new approach to this problem which is close in spirit to Lusztig's construction of a canonical basis, and the pioneering construction of the Kazhdan-Lusztig basis in a Hecke algebra.
Arkady Berenstein, Andrei Zelevinsky
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Ternary mappings of triangular algebras [PDF]
Aequationes mathematicae, 2021 We take a categorical approach to describe ternary derivations and ternary automorphisms of triangular algebras. New classes of automorphisms and derivations of triangular algebras are also introduced and studied.
Martín-Barquero, Dolores +3 more
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Essentially Triangular Algebras [PDF]
Proceedings of the American Mathematical Society, 1986 If N \mathcal {N} is a nest, then the set of all bounded linear operators T T such that T P − P T P TP - PTP is compact for all P P in N \mathcal {N} is the essentially triangular algebra associated
J. A. Erdos, A. Hopenwasser
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A Class of Nonlinear Nonglobal Semi-Jordan Triple Derivable Mappings on Triangular Algebras
Journal of Mathematics, 2021 In this paper, we proved that each nonlinear nonglobal semi-Jordan triple derivable mapping on a 2-torsion free triangular algebra is an additive derivation.
Xiuhai Fei, Haifang Zhang
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Joint and Generalized Spectral Radius of Upper Triangular Matrices with Entries in a Unital Banach Algebra [PDF]
Sahand Communications in Mathematical Analysis, 2020 In this paper, we discuss some properties of joint spectral {radius(jsr)} and generalized spectral radius(gsr) for a finite set of upper triangular matrices with entries in a Banach algebra and represent relation between geometric and joint/generalized
Hamideh Mohammadzadehkan +2 more
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Generalized Lie n-derivations on arbitrary triangular algebras
Open Mathematics, 2023 In this study, we consider generalized Lie nn-derivations of an arbitrary triangular algebra TT through the constructed triangular algebra T0{T}_{0}, where T0{T}_{0} is constructed using the notion of maximal left (right) ring of quotients.
Yuan He, Liu Zhuo
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Characterizations of Lie n-Centralizers on Certain Trivial Extension Algebras
Journal of Mathematics, 2023 In this paper, we describe the structure of Lie n-centralizers of a trivial extension algebra. We then present some conditions under which a Lie n-centralizer on a trivial extension algebra is proper.
Xiaokui Li, He Yuan, Qian Zhang
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Lie Bialgebras on the Rank Two Heisenberg–Virasoro Algebra
Mathematics, 2023 The rank two Heisenberg–Virasoro algebra can be viewed as a generalization of the twisted Heisenberg–Virasoro algebra. Lie bialgebras play an important role in searching for solutions of quantum Yang–Baxter equations.
Yihong Su, Xue Chen
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Gorenstein-Projective Modules over Upper Triangular Matrix Artin Algebras
Journal of Mathematics, 2021 Gorenstein-projective module is an important research topic in relative homological algebra, representation theory of algebras, triangulated categories, and algebraic geometry (especially in singularity theory).
Dadi Asefa
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