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The scientific legacy of Miloslav Havlíček
Acta PolytechnicaWe review the main research achievements of Miloslav Havl´ıˇcek in algebraic methods in Quantum Theory, his extensive work on realisations of Lie algebras and superalgebras and their representation theory, quantum groups and differential equations.
Rutwig Campoamor-Stursberg
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Realizations of Lie algebras on the line and the new group classification of (1+1)-dimensional generalized nonlinear Klein–Gordon equations [PDF]
, 2021 Vyacheslav M. Boyko +2 more
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Addressing ecological challenges from a quantum computing perspective
Methods in Ecology and Evolution, EarlyView.Abstract With increased access to data and the advent of computers, the use of statistical tools and numerical simulations is becoming commonplace for ecologists. These approaches help improve our understanding of ecological phenomena and their underlying mechanisms in increasingly complex environments.
Maxime Clenet +2 more
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Fine Gradings of Low-Rank Complex Lie Algebras and of Their Real Forms
Symmetry, Integrability and Geometry: Methods and Applications, 2008 In this review paper, we treat the topic of fine gradings of Lie algebras. This concept is important not only for investigating the structural properties of the algebras, but, on top of that, the fine gradings are often used as the starting point for ...
Milena Svobodová
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Classification of Traces and Associated Determinants on Odd-Class Operators in Odd Dimensions
Symmetry, Integrability and Geometry: Methods and Applications, 2012 To supplement the already known classification of traces on classical pseudodifferential operators, we present a classification of traces on the algebras of odd-class pseudodifferential operators of non-positive order acting on smooth functions on a ...
Carolina Neira Jiménez +1 more
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Dynamical equations of multibody systems on Lie groups
Advances in Mechanical Engineering, 2015 The Euler–Poinaré principle is a reduced Hamilton’s principle under Lie group framework. In this article, it is applied to derive a hybrid set of dynamical equations of rigid multibody systems, which include four parts: the classical Euler–Lagrange ...
Wenjie Yu, Zhenkuan Pan
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BPS spectra of N=2 SO7 and SP4 models
Nuclear Physics B, 2017 Extending the folding method of ADE Dynkin diagrams of Lie algebras to BPS quivers of 4d N=2 supersymmetric gauge theory with ADE type gauge invariance, we study the BPS spectra for gauge symmetries with non-simply laced Lie algebras. Focussing on the 4d
R. Ahl Laamara, O. Mellal, E.H. Saidi
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Correspondence between Lie algebra invariant subspaces and Lie group invariant subspaces of representations of Lie groups [PDF]
Transactions of the American Mathematical Society, 1972 Let G be a Lie group with Lie algebra g \mathfrak {g} and B = u ( g ) \mathfrak {B} = \mathfrak {u}(\mathfrak {g}) , the universal enveloping algebra of g \mathfrak {g} ; also let U be a ...
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British Journal of Educational Psychology, EarlyView.Abstract Introduction Self‐regulated learning (SRL) interventions have been widely recognized for their potential to enhance students' academic achievement; however, their effects on math‐related motivational constructs remain less explored. This study investigated the impact of an SRL intervention on multiple math‐related motivational factors (math ...
Federica Granello +4 more
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q-deformation of W (2, 2) Lie algebra associated with quantum groups [PDF]
, 2012 La Mei Yuan
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