Results 81 to 90 of about 268,118 (176)
Some basic properties of solvable Leibniz algebras
, 2019 WOS: 000489942000008In this paper, we commence the systematic study of the structure of solvable Leibniz algebras and we give some basic properties on solvable non-Lie Leibniz algebras.
Mansuroglu, Nil
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Efficient Gaussian Simulations of Fermionic Open Quantum Systems
Advanced Quantum Technologies, Volume 9, Issue 4, April 2026.Building upon Bravyi's fundamental theoretical framework, efficient classical simulation methods are reviewed and further developed for general fermionic Gaussian processes. The emphasis remains on a unified approach applicable to generic fermionic Gaussian operations.
Yinan Fang +3 more
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, 2008 2000 Mathematics Subject Classification: Primary 17A32, Secondary 17D25.An algebra (A,ο) is called Leibniz if aο(bοc) = (a ο b)ο c-(a ο c) ο b for all a,b,c ∈ A.
Dzhumadil'daev, A. S.
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On the structure of one-generated Leibniz rings
Researches in MathematicsThe paper is devoted to the study of one-generated Leibniz rings. We begin with a short discussion of the relation between Lie rings, Lie algebras, Leibniz algebras, and Leibniz rings, and recall the basic notions needed in the sequel.
L.A. Kurdachenko +2 more
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, 2014 International audienceLeft (or right) Leibniz algebras endowed with symmetric non-degenerate and associative bilinear forms (called quadratic Leibniz algebras) are investigated. In particular, we prove that left (resp.
Hidri, Samiha, Benayadi, Saïd
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Quasi-ideals of Leibniz algebras [PDF]
, 2020 A subspace H of a Leibniz algebra L is called a quasi-ideal if [H;K] + [K;H] ⊆ H + K for every subspace K of L. They include ideals and subalgebras of codimension one in L.
Towers, David
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On some "minimal" Leibniz algebras [PDF]
, 2016 Отримано детальний опис алгебр Лейбніца, усі власні підалгебри яких є алгебрами Лі, та алгебр Лейбніца, усі власні підалгебри яких є абелевими.Получено описание алгебр Лейбница, все подалгебры которых являются алгебрами Ли, и алгебр Лейбница, все ...
Чупордя, В.А. +2 more
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Automorphism groups of some non-nilpotent Leibniz algebras
Researches in MathematicsLet $L$ be an algebra over a field $F$ with the binary operations $+$ and $[,]$. Then $L$ is called a left Leibniz algebra if it satisfies the left Leibniz identity: $[a,[b,c]]=[[a,b],c]+[b,[a,c]]$ for all $a,b,c\in L$. A linear transformation $f$ of $L$
L.A. Kurdachenko +2 more
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On the renormalization group fixed point of the two-dimensional Ising model at criticality. [PDF]
Sci Rep, 2023 Stottmeister A, Osborne TJ.
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When Leibniz algebras are Nijenhuis? [PDF]
Leibniz algebras can be seen as a ``non-commutative" analogue of Lie algebras. Nijenhuis operators on Leibniz algebras introduced by Cari\~{n}ena, Grabowski, and Marmo in [J. Phys. A: Math. Gen.
Wang, Shuanhong +2 more
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