Disconnected 0-form and 2-group symmetries
Journal of High Energy Physics, 2023 Quantum field theories can have both continuous and finite 0-form symmetries. We study global symmetry structures that arise when both kinds of 0-form symmetries are present. The global structure associated to continuous 0-form symmetries is described by
Lakshya Bhardwaj, Dewi S. W. Gould
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Lie Group Classification of a Generalized Lane-Emden Type System in Two Dimensions
Journal of Applied Mathematics, 2012 The aim of this work is to perform a complete Lie symmetry classification of a generalized Lane-Emden type system in two dimensions which models many physical phenomena in biological and physical sciences.
Motlatsi Molati, Chaudry Masood Khalique
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Generation of Finite Groups of Lie Type [PDF]
Transactions of the American Mathematical Society, 1982 Let p p be an odd prime and G G a finite group of Lie type in characteristic other than p p . Fix an elementary abelian p p -subgroup of Aut ( G ) \operatorname {Aut} (G) .
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Extended symmetry of the Witten-Dijkgraaf-Verlinde-Verlinde equation of Monge-Ampere type [PDF]
Opuscula MathematicaWe construct the Lie algebra of extended symmetry group for the Monge-Ampere type Witten-Dijkgraaf-Verlinde-Verlinde (WDVV) equation. This algebra includes novel generators that are unobtainable within the framework of the classical Lie approach and ...
Patryk Sitko, Ivan Tsyfra
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Classification of the maximal subalgebras of exceptional Lie algebras over fields of good characteristic [PDF]
, 2019 Let $G$ be an exceptional simple algebraic group over an algebraically closed field $k$ and suppose that the characteristic $p$ of $k$ is a good prime for $G$.
Premet, Alexander, Stewart, David I.
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Doubled aspects of generalised dualities and integrable deformations
Journal of High Energy Physics, 2019 The worldsheet theories that describe Poisson-Lie T-dualisable σ-models on group manifolds as well as integrable η, λ and β-deformations provide examples of ℰ-models.
Saskia Demulder +2 more
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On the Property of Linear Autonomy for Symmetries of Fractional Differential Equations and Systems
Mathematics, 2022 The problem of finding Lie point symmetries for a certain class of multi-dimensional nonlinear partial fractional differential equations and their systems is studied.
Stanislav Yu. Lukashchuk
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Flag-transitive non-symmetric 2-designs with λ prime and exceptional groups of Lie type
AIMS MathematicsThis paper contributes to the classification of flag-transitive 2-$ (v, k, \lambda) $ designs. Let $ \mathcal{D} $ be a non-trivial and non-symmetric $ 2 $-$ (v, k, \lambda) $ design with $ \lambda $ prime and $ G $ be a flag-transitive point-primitive ...
Yongli Zhang , Jiaxin Shen
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Orthogonal Polynomials of Compact Simple Lie Groups
International Journal of Mathematics and Mathematical Sciences, 2011 Recursive algebraic construction of two infinite families of polynomials in n variables is proposed as a uniform method applicable to every semisimple Lie group of rank n.
Maryna Nesterenko +2 more
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Lie Group Analysis of the Photo-Induced Fluorescence of Drosophila Oogenesis with the Asymmetrically Localized Gurken Protein. [PDF]
PLoS ONE, 2013 Lie group analysis of the photo-induced fluorescence of Drosophila oogenesis with the asymmetrically localized Gurken protein has been performed systematically to assess the roles of ligand-receptor complexes in follicle cells.
Jen-Cheng Wang +5 more
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