Results 81 to 90 of about 156 (136)
Anomalous Spin‐Optical Helical Effect in Ti‐Based Kagome Metal
The kagome lattice hosts diverse correlated quantum states, including elusive loop currents. We report spin‐handedness selective signals in CsTi3Bi5, termed the anomalous spin‐optical helical effect, surpassing conventional spin responses. Arising from light helicity coupled to spin‐orbital correlations, this effect provides a sensitive, indirect probe
Federico Mazzola +34 more
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Steinberg–Leibniz algebras and superalgebras
The Steinberg Lie algebra \({\mathfrak s}{\mathfrak t}(n,A)\), \(n\geq 3\), over a unital associative algebra \(A\) is the universal central extension of the matrix Lie algebra \({\mathfrak s}{\mathfrak l}(n,A)\), and the Leibniz algebra \({\mathfrak s}{\mathfrak t}{\mathfrak l}(n,A)\) has a similar property in the category of Leibniz algebras.
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AGGREGATION AND BRACKETS IN MODERN MATHEMATICS: INTRODUCTION TO LOGICALSEMIOTIC ANALYSIS
The article is a logical-methodological investigation in semiotic history of mathematics. It is studied in the article the history of meanings of designation of aggregation and using of brackets and other parentheses in mathematics. The term “aggregation”
Тарас Шиян
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Odd Jacobi Manifolds and Loday-Poisson Brackets
We construct a nonskew symmetric version of a Poisson bracket on the algebra of smooth functions on an odd Jacobi supermanifold. We refer to such Poisson-like brackets as Loday-Poisson brackets.
Andrew James Bruce
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On Leibniz algebras, whose subideals are ideals
We obtain a description of solvable Leibniz algebras, whose subideals are ideals. A description of certain types of Leibniz T-algebras is also obtained. In particular, it is established that the structure of Leibniz T-algebras essentially depends on the
L.A. Kurdachenko +2 more
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On Soft Intersection Leibniz Algebras
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Leibniz Representations of Lie Algebras
The authors examine the category \(L({\mathfrak g})\) of finite-dimensional Leibniz representation [the authors, Math. Ann. 296, 139-158 (1993; Zbl 0821.17022)] of the finite-dimensional semisimple Lie algebra \({\mathfrak g}\). First, they notice that \(L({\mathfrak g})\) is not semisimple even when the characteristic of the field \(k\) is 0.
Loday, J-L, Pirashvili, T
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We introduce para-associative algebroids as vector bundles whose sections form a ternary algebra with a generalised form of associativity. We show that a necessary and sufficient condition for local triviality is the existence of a differential ...
Andrew James Bruce
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Lattices of Subalgebras of Leibniz Algebras [PDF]
I describe the lattice of subalgebras of a one-generator Leibniz algebra. Using this, I show that, apart from one special case, a lattice isomorphism between Leibniz algebras L, L' maps the Leibniz kernel of L to that of L'.
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Global Integration of Leibniz Algebras
Summary: We present a global integration procedure of any real finite-dimensional Leibniz algebra into a Lie rack which reduces in the particular case of a Lie algebra to the ordinary connected simply connected Lie group. The construction is not functorial.
Bordemann, Martin, Wagemann, Friedrich
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