Results 31 to 40 of about 1,597,900 (327)
On the Lie algebra of a finite group of Lie type
Journal of Algebra, 1982 In this paper we study a certain finite Lie algebra, g, associated with a finite group of Lie type, G. The maximal tori of g are determined (assuming certain characteristic restrictions), and it is shown that the number of Gorbits of these depends only on the Weyl group.
Kaneda, Masaharu, Seitz, Gary M
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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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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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Chains of Subgroups in Groups of Lie Type III
Journal of the London Mathematical Society, 1990 The authors continue their study of the maximal length \(\ell(G)\) of a chain of subgroups \(G=G_ 0>G_ 1>\dots>G_ k=1\) in a finite simple group of Lie type in characteristic \(p\). In the first paper of the series [J. Algebra 132, No. 1, 174-184 (1990; Zbl 0714.20011)] they gave a precise formula in the case \(p=2\).
Solomon, Ron, Turull, Alexandre
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Birational Weyl group action arising from a nilpotent Poisson algebra
, 2000 We propose a general method to realize an arbitrary Weyl group of Kac-Moody type as a group of birational canonical transformations, by means of a nilpotent Poisson algebra.
Noumi, Masatoshi, Yamada, Yasuhiko
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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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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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The Largest Irreducible Representations of Simple Groups
, 2010 Answering a question of I. M. Isaacs, we show that the largest degree of irreducible complex representations of any finite non-abelian simple group can be bounded in terms of the smaller degrees.
Larsen, Michael +2 more
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FEBS Letters, EarlyView.Phototrophs evolved light‐harvesting systems adapted for efficient photon capture in habitats enriched in far‐red radiation. A subset of eukaryotic pigment‐binding proteins can absorb far‐red photons via low‐energy chlorophyll states known as red forms.
Antonello Amelii +8 more
wiley +1 more source
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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