Results 41 to 50 of about 456,826 (227)
Exploring exceptional Drinfeld geometries
Journal of High Energy Physics, 2020 We explore geometries that give rise to a novel algebraic structure, the Exceptional Drinfeld Algebra, which has recently been proposed as an approach to study generalised U-dualities, similar to the non-Abelian and Poisson-Lie generalisations of T ...
Chris D. A. Blair +2 more
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Leibniz’s Binary Algebra and its Role in the Expression and Classification of Numbers
Philosophia Scientiæ, 2021 Leibniz’s binary numeral system is generally studied for its arithmetical relevance, but the analysis of several unpublished manuscripts shows that from the very beginning Leibniz also envisaged a new form of algebra in the context of dyadics based on ...
Mattia Brancato
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International Journal of Mechanical System Dynamics, EarlyView.ABSTRACT The design of control systems for high‐agility mechanical systems operating in extreme environments is a significant challenge in nonlinear dynamics. This paper addresses the complex dynamic control problem of a hypersonic interceptor, modeled as a multi‐input multi‐output (MIMO) mechanical system characterized by strong aerodynamic cross ...
Mohammad Mahdi Soori +1 more
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Omni-Representations of Leibniz Algebras
Communications in Mathematical Research, 2023 In this paper, first we introduce the notion of an omni-representation of a Leibniz algebra $g$ on a vector space $V$ as a Leibniz algebra homomorphism from $g$ to the omni-Lie algebra $gl(V)⊕V.$ Then we introduce the omni-cohomology theory associated to omni-representations and establish the relation between omni-cohomology groups and Loday-Pirashvili
Liu, Zhangju, Sheng, Yunhe
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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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A new model of the free monogenic digroup
Математичні Студії, 2023 It is well-known that one of open problems in the theory of Leibniz algebras is to find a suitable generalization of Lie’s third theorem which associates a (local) Lie group to any Lie algebra, real or complex. It turns out, this is related to finding an
Yu. V. Zhuchok, G. F. Pilz
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Feedback Linearisation with State Constraints
International Journal of Robust and Nonlinear Control, EarlyView.ABSTRACT Feedback Linearisation (FBL) is a widely used technique that applies feedback laws to transform input‐affine nonlinear control systems into linear control systems, allowing for the use of linear controller design methods such as pole placement.
Songlin Jin, Yuanbo Nie, Morgan Jones
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Achter Band: 1670–1676: Varia mathematica, Nachträge [PDF]
Band 8 schließt die Edition der mathematischen Schriften aus Leibniz’ außerordentlich produktiven Jahren in Paris ab. Er umfasst 77 zwischen 1670 und 1676 niedergeschriebene Texte; etwa zwei Drittel von diesen werden hier erstmalig gedruckt.
Leibniz, Gottfried Wilhelm
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On the Structure of Graded Leibniz Algebras [PDF]
Algebra Colloquium, 2015 We study the structure of graded Leibniz algebras with arbitrary dimension and over an arbitrary base field 𝕂. We show that any of such algebras 𝔏 with a symmetric G-support is of the form [Formula: see text] with U a subspace of 𝔏1, the homogeneous component associated to the unit element 1 in G, and any Ija well described graded ideal of 𝔏 ...
Calderón Martín, Antonio J. +1 more
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The Additive Logic of Epistemic Reasons: An Axiomatic Account
Theoria, EarlyView.ABSTRACT The article argues for a system of axioms that is meant to capture the logic of normative reasons for belief. The system concerns a primitive direct‐reason relation, a defined doxastic‐reason relation, and a primitive function for the revision of rational belief by reasons.
Hannes Leitgeb
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