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1
Published in 2022 at "New directions for child and adolescent development"
DOI: 10.1002/cad.20451
Abstract: This research aims to understand how children conceptualise lying and how they associate it with moral reasoning within a narrative that contains everyday moral transgressions. This study also explores whether children are willing to lie…
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Keywords:
lie;
adult;
moral reasoning;
concept lying ... See more keywords
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1
Published in 2020 at "International Journal of Robust and Nonlinear Control"
DOI: 10.1002/rnc.5085
Abstract: We present a geometric discrete‐time Pontryagin maximum principle (PMP) on matrix Lie groups that incorporates frequency constraints on the control trajectories in addition to pointwise constraints on the states and control actions directly at the…
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Keywords:
lie;
pontryagin maximum;
maximum principle;
matrix lie ... See more keywords
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1
Published in 2019 at "Journal of High Energy Physics"
DOI: 10.1007/jhep03(2019)160
Abstract: A bstractWe study systematically various extensions of the Poincaré superalgebra. The most general structure starting from a set of spinorial supercharges Qα is a free Lie superalgebra that we discuss in detail. We explain how…
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Keywords:
theory free;
lie superalgebras;
symmetries theory;
lie ... See more keywords
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2
Published in 2022 at "Results in Mathematics"
DOI: 10.1007/s00025-022-01616-5
Abstract: Let L be an n-dimensional non-abelian nilpotent Lie algebra and s(L) = 1 2 (n − 1)(n − 2) + 1 − dimM(L) where M(L) is the Schur multiplier of a Lie algebra L. The…
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Keywords:
lie;
lie algebra;
nilpotent lie;
algebra multiplier ... See more keywords
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Published in 2018 at "Mathematische Zeitschrift"
DOI: 10.1007/s00209-018-2146-6
Abstract: We introduce the notion of virtual endomorphisms of Lie algebras and use it as an approach for constructing self-similarity of Lie algebras. This is done in particular for a class of metabelian Lie algebras having…
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Keywords:
self similar;
lie;
virtual endomorphisms;
lie algebras ... See more keywords
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1
Published in 2019 at "Mathematische Zeitschrift"
DOI: 10.1007/s00209-019-02307-8
Abstract: Let G be a simply connected, simple, complex Lie group of rank 2. We give explicit Fock-Goncharov coordinates for configurations of triples and quadruples of affine flags in G . We show that the action…
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Keywords:
fock goncharov;
lie;
rank two;
coordinates rank ... See more keywords
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1
Published in 2017 at "Communications in Mathematical Physics"
DOI: 10.1007/s00220-018-3227-4
Abstract: Starting from a finite-dimensional representation of the Yangian $${Y (\mathfrak{g})}$$Y(g) for a simple Lie algebra $$ \mathfrak{g}$$g in Drinfeld’s original presentation, we construct a Hopf algebra $${{X}_\mathcal{I}(\mathfrak{g})}$$XI(g), called the extended Yangian, whose defining relations are…
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Keywords:
algebra;
lie;
matrix;
simple lie ... See more keywords
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Published in 2021 at "Annals of Global Analysis and Geometry"
DOI: 10.1007/s10455-021-09782-5
Abstract: We study the positive Hermitian curvature flow on the space of left-invariant metrics on complex Lie groups. We show that in the nilpotent case, the flow exists for all positive times and subconverges in the…
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Keywords:
hermitian curvature;
lie;
almost abelian;
complex lie ... See more keywords
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1
Published in 2018 at "Algebras and Representation Theory"
DOI: 10.1007/s10468-018-9794-4
Abstract: AbstractWe discuss the notion of characteristic Lie algebra of a hyperbolic PDE. The integrability of a hyperbolic PDE is closely related to the properties of the corresponding characteristic Lie algebra χ. We establish two explicit…
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Keywords:
lie;
lie algebras;
mathfrak mathbb;
pde ... See more keywords
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Published in 2020 at "Letters in Mathematical Physics"
DOI: 10.1007/s11005-020-01344-3
Abstract: We consider the centers of the affine vertex algebras at the critical level associated with simple Lie algebras. We derive new formulas for generators of the centers in the classical types. We also give a…
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Keywords:
lie;
lie algebras;
classical lie;
sugawara vectors ... See more keywords
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Published in 2017 at "Ukrainian Mathematical Journal"
DOI: 10.1007/s11253-018-1442-y
Abstract: Let ???? be an algebraically closed field with characteristic zero and let V be a module over the polynomial ring ????[x, y]. The actions of x and y specify linear operators P and Q on…
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Keywords:
lie;
lie algebras;
algebras isomorphic;
weakly isomorphic ... See more keywords