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Lie symmetries of nonlinear systems with unknown inputs
Published 2023Subjects: Get full text
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Synchronized lying in cattle in relation to time of day
Published 2012“…With the increasing use of synchrony of lying as a measure of welfare in cattle, such temporal effects need to be taken into account. …”
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Lie symmetries of nonlinear systems with unknown inputs
Published 2022“…It has been revealed that a dynamical system being unobservable or unidentifiable for a given set of observations is fundamentally related to the existence of Lie symmetries. Lie symmetries thus have the potentiality of providing useful tools to analyze and improve the observability and identifiability properties of dynamical systems from a fundamental perspective. …”
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Subgroup growth of lattices in semisimple Lie groups
Published 2004“…This allows us to determine the subgroup growth of irreducible lattices of semisimple Lie groups. In the most general case our results depend on the Generalized Riemann Hypothesis for number fields but we can state the following unconditional theorem: Let $G$ be a simple Lie group of real rank at least 2, different than $D_4(\bbc)$, and let $\Gamma$ be any non-uniform lattice of $G$. …”
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Synchronized lying in cattle in relation to time of day
Published 2012“…With the increasing use of synchrony of lying as a measure of welfare in cattle, such temporal effects need to be taken into account. …”
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LOW-LYING ELECTRONIC STATES OF MAGNESIUM HYDRIDE
Published 1975“…The upper state of this system lies lower in energy than any of the previously identified excited 2Σ+ states of MgH. …”
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Sublinear rigidity of lattices in semisimple lie groups
Published 2023“…In this thesis I prove metric rigidity results for lattices in real semisimple Lie groups without compact factors and with trivial centre. …”
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Lie polynomials and a twistorial correspondence for amplitudes
Published 2021“…We review Lie polynomials as a mathematical framework that underpins the structure of the so-called double copy relationship between gauge and gravity theories (and a network of other theories besides). …”
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Formal moduli problems and partition lie algebras
Published 2019“…If <em>k</em> is a field of characteristic zero, a theorem of Lurie–Pridham asserts an equivalence between formal moduli problems and d.g. Lie algebras over <em>k</em>. We generalise this equivalence to arbitrary fields by using “partition Lie algebras”. …”
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Block components of the Lie module for the symmetric group
Published 2012“…Let F be a field of prime characteristic p and let B be a nonprincipal block of the group algebra F S r of the symmetric group S r. The block component Lie(r) B of the Lie module Lie(r) is projective, by a result of Erdmann and Tan, although Lie(r) itself is projective only when p {does not divide} r. …”
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PD operads and explicit partition lie algebras
Published 2024“…<p>Infinitesimal deformations are governed by partition Lie algebras. In characteristic 0, these higher categorical structures are modelled by differential graded Lie algebras, but in characteristic p, they are more subtle.…”
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Discrete Euler-Poincaré and Lie-Poisson Equations
Published 1999“…In this paper, discrete analogues of Euler-Poincar\'{e} and Lie-Poisson reduction theory are developed for systems on finite dimensional Lie groups $G$ with Lagrangians $L:TG \to {\mathbb R}$ that are $G$-invariant. …”
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Central Extensions of Nilpotent Lie and Leibniz Algebras
Published 2010Subjects: “…Nilpotent Lie groups…”
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Zur Genesis der Gattung Lied wie sie Franz Schubert definiert hat
Published 1975-12-01“…Zur Genesis der Gattung Lied wie sie Franz Schubert definiert hat…”
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