Results 51 to 60 of about 32,301 (195)
Diophantine properties of nilpotent Lie groups
, 2014 A finitely generated subgroup {\Gamma} of a real Lie group G is said to be Diophantine if there is \beta > 0 such that non-trivial elements in the word ball B_\Gamma(n) centered at the identity never approach the identity of G closer than |B_{\Gamma} (n)|
Aka, Menny +3 more
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Spreads and nilpotence class in nilpotent groups and Lie algebras
Journal of Algebra, 2015 For a non-abelian finite \(p\)-group \(G\), let \(p^{b(G)}\) be the maximum, and \(p^{s(G)}\) the minimum, of sizes of conjugacy classes of non-central elements of \(G\). The number \(\delta=\delta(G)=b(G)-s(G)\) is called the spread of \(G\). \textit{A. Jaikin-Zapirain} proved [Proc. Am. Math. Soc. 133, No.
openaire +1 more source
Singular Integrals on Nilpotent Lie Groups [PDF]
Proceedings of the American Mathematical Society, 1975 Convolution operators T f ( x ) =
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The singularity category and duality for complete intersection groups
Bulletin of the London Mathematical Society, Volume 58, Issue 6, June 2026.Abstract If G$G$ is a finite group, the structure of the modular representation theory depends on the cochains C∗(BG;k)$C^*(BG; k)$, viewed as a commutative ring spectrum. We consider here its singularity category (in the sense of the author and Stevenson [Adv. Math.
J. P. C. Greenlees
wiley +1 more source
Controllability of affine control systems on graded Lie groups
Kuwait Journal of Science, 2015 This paper is concerned with an affine control system on a manifold which is equivalentby diffeomorphism to an invariant system on a free nilpotent Lie group, if and only if,the vector fields of the system generate graded Lie algebra and the vector ...
MEMET KULE
doaj
Analysis and Geometry in Metric Spaces, 2018 Carnot groups are distinguished spaces that are rich of structure: they are those Lie groups equipped with a path distance that is invariant by left-translations of the group and admit automorphisms that are dilations with respect to the distance.
Le Donne Enrico
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On the cohomology of finite‐dimensional nilpotent groups and lie rings
Bulletin of the London Mathematical Society, Volume 58, Issue 6, June 2026.Abstract We establish vanishing results for the first cohomology group of nilpotent groups and Lie rings when the submodule of invariants is trivial. Our results are obtained within a model‐theoretic setting, namely for structures that are definable in a finite‐dimensional theory, which encompasses algebraic groups over algebraically closed fields ...
Samuel Zamour
wiley +1 more source
Complete classification of homogeneous structures on Lorentzian direct extensions of the Heisenberg group [PDF]
ریاضی و جامعهThe Heisenberg Lie group is one of the most famous and important Lie groups among the family of three dimensional Lie groups. The direct extension of this group to the fourth dimension was taken into consideration in the study of the nilpotent Lie ...
Amirhesam Zaeim +2 more
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Some two-step and three-step nilpotent Lie groups with small automorphism groups [PDF]
, 2002 We construct examples of two-step and three-step nilpotent Lie groups whose automorphism groups are `small' in the sense of either not having a dense orbit for the action on the Lie group, or being nilpotent (the latter being stronger).
Dani, S. G.
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Nilpotent orbits over ground fields of good characteristic
, 2004 Let X be an F-rational nilpotent element in the Lie algebra of a connected and reductive group G defined over the ground field F. Suppose that the Lie algebra has a non-degenerate invariant bilinear form.
McNinch, George J.
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