Results 21 to 30 of about 188,766 (316)
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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Recognition of finite exceptional groups of Lie type [PDF]
Transactions of the American Mathematical Society, 2015 Let $q$ be a prime power and let $G$ be an absolutely irreducible subgroup of $GL_d(F)$, where $F$ is a finite field of the same characteristic as $\F_q$, the field of $q$ elements. Assume that $G \cong G(q)$, a quasisimple group of exceptional Lie type over $\F_q$ which is neither a Suzuki nor a Ree group.
Liebeck, MW, O'Brien, EA
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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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Дифференциальная геометрия многообразий фигур, 2022 Finding the conditions for the invariance of geometric objects under the action of transformation groups is one of the main objects of geometric research.
S.V. Khokhlov, L.A. Ignatochkina
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Non-finitary Generalizations of Nil-triangular Subalgebras of Chevalley Algebras
Известия Иркутского государственного университета: Серия "Математика", 2019 Let $N\Phi(K)$ be a niltriangular subalgebra of Chevalley algebra over a field or ring $K$ associated with root system $\Phi$ of classical type. For type $A_{n-1}$ it is associated to algebra $NT(n,K)$ of (lower) nil-triangular $n \times n$- matrices ...
J. V. Bekker +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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Some Results on Equivalence Groups
Journal of Applied Mathematics, 2012 The comparison of two common types of equivalence groups of differential equations is discussed, and it is shown that one type can be identified with a subgroup of the other type, and a case where the two groups are isomorphic is exhibited.
J. C. Ndogmo
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Advances in Difference Equations, 2019 We investigate the point symmetries, Lie–Bäcklund symmetries for a type of dispersive water waves. We obtain some Lie transformation groups, various group-invariant solutions, and some similarity solutions.
Yufeng Zhang, Na Bai, Hongyang Guan
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Disconnected groups of Lie type as Galois groups.
Journal für die reine und angewandte Mathematik (Crelles Journal), 1992 A large part of the finite simple groups have been shown to occur as regular Galois groups over the field \(\mathbb{Q}^{ab}(t)\). For the groups of Lie type, these are results of Belyj and of the author. The only missing cases are among the exceptional groups of Lie type, and there only some cases in bad characteristic and one congruence class \(\hbox ...
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