Results 51 to 60 of about 199,468 (335)
A Cohen Type Inequality for Compact Lie Groups [PDF]
Proceedings of the American Mathematical Society, 1979 The following theorem is proved: let G denote a compact connected semisimple Lie group. There exists θ = θ ( G ) ( 3 ⩽ θ > 4 ) \theta = \theta (G)(3 \leqslant \theta > 4) such that, if χ 1
Giulini, S +2 more
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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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A first guide to the character theory of finite groups of Lie type [PDF]
, 2017 This survey article is an introduction to some of Lusztig's work on the character theory of a finite group of Lie type $G(F_q)$, where $q$ is a power of a prime~$p$.
M. Geck
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On the cohomology of finite groups of Lie type [PDF]
Illinois Journal of Mathematics, 1992 Let \(q\) be the number of elements of the field \(F_ q\) of characteristic \(p\). The author proves the following theorem: Let \(G\) be a connective reductive \(F_ q\)-group scheme and let \(l\) be a prime different from \(p\). Then the following are equivalent: (i) The inclusion \(G(F_ q) \to G(F_{q^ n})\) induces an \(H^*(\;;\mathbb{Z}/l ...
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On Thompson’s Conjecture for Finite Simple Exceptional Groups of Lie Type [PDF]
Journal of Mathematical Sciences, 2017 Let G be a finite group and N ( G ) the set of sizes of conjugacy classes of G . It is proved that if G is a finite group with trivial center and L is a finite simple group of exceptional Lie type, then G ≃ L whenever N ( G ) = N ( L ).
I. Gorshkov +3 more
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Property Ω and holomorphic functions with values in a pseudoconvex space having Stein morphism into a complex Lie group [PDF]
Rendiconti di Matematica e delle Sue Applicazioni, 1996 It is shown that a nuclear Frechet space E with a Schauder basis has the property ΩF if and only if there exists a compact balanced convex set B in E such that every holomorphic function on (EB, τE), where EB is the Banach space spanned by B and τE is
N. NGUYEN MINH HA, T. THAI THUAN QUANG
doaj
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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Endotrivial modules for finite groups of Lie type A in nondefining characteristic [PDF]
Mathematische Zeitschrift, 2015 Let G be a finite group such that SL(n,q)⊆G⊆GL(n,q)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}
J. Carlson, N. Mazza, D. Nakano
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Corrigendum to ‘Endoscopy for Hecke categories, character sheaves and representations’
Forum of Mathematics, Pi, 2021 We fix an error on a $3$ -cocycle in the original version of the paper ‘Endoscopy for Hecke categories, character sheaves and representations’. We give the corrected statements of the main results.
George Lusztig, Zhiwei Yun
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The r-Rank of the groups of exceptional Lie type [PDF]
Indagationes Mathematicae (Proceedings), 1987 Let r be a prime and G a simple algebraic group of exceptional type over an algebraically closed field of characteristic other than r. Let E be an elementary abelian r-subgroup of G of maximal rank. \textit{A. Borel} and \textit{J.-P. Serre} [Comment. Math. Helv. 27, 128-139 (1953; Zbl 0051.019)] raised a question of how the rank of E is related to the
Aaron Cohen, Gary M. Seitz
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