Results 21 to 30 of about 178,877 (207)
A Cornucopia of Carnot Groups in Low Dimensions
Analysis and Geometry in Metric Spaces, 2022 Stratified groups are those simply connected Lie groups whose Lie algebras admit a derivation for which the eigenspace with eigenvalue 1 is Lie generating.
Le Donne Enrico, Tripaldi Francesca
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Extraction Algorithm of HOM–LIE Algebras Based on Solvable and Nilpotent Groups
International Journal of Mathematics and Mathematical Sciences, 2023 Dedicated to Al Farouk School & Kinder garten-Irbid ...
Shadi Shaqaqha, Nadeen Kdaisat
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Surjektifitas Pemetaan Eksponensial untuk Grup Lie Heisenberg yang Diperumum
Jambura Journal of Mathematics, 2023 The Heisenberg Lie Group is the most frequently used model for studying the representation theory of Lie groups. This Lie group is modular-noncompact and its Lie algebra is nilpotent.
Edi Kurniadi +2 more
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Spectral theory of approximate lattices in nilpotent Lie groups [PDF]
Mathematische Annalen, 2018 We consider approximate lattices in nilpotent Lie groups. With every such approximate lattice one can associate a hull dynamical system and, to every invariant measure of this system, a corresponding unitary representation.
Michael Björklund, Tobias Hartnick
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On Degenerate 3-(α, δ)-Sasakian Manifolds
Complex Manifolds, 2022 We propose a new method to construct degenerate 3-(α, δ)-Sasakian manifolds as fiber products of Boothby-Wang bundles over hyperkähler manifolds. Subsequently, we study homogeneous degenerate 3-(α, δ)-Sasakian manifolds and prove that no non-trivial ...
Goertsches Oliver +2 more
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Affine actions on nilpotent Lie groups [PDF]
Forum Mathematicum, 2009 To any connected and simply connected nilpotent Lie group N, one can associate its group of affine transformations Aff(N). In this paper, we study simply transitive actions of a given nilpotent Lie group G on another nilpotent Lie group N, via such affine transformations.
Deschamps, Sandra +2 more
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Construction of nice nilpotent Lie groups [PDF]
Journal of Algebra, 2018 We illustrate an algorithm to classify nice nilpotent Lie algebras of dimension n up to a suitable notion of equivalence; applying the algorithm, we obtain complete listings for n ≤ 9 .
D. Conti, F. Rossi
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On the isomorphism problem for C∗-algebras of nilpotent Lie groups [PDF]
Journal of Topology and Analysis (JTA), 2018 We investigate to what extent a nilpotent Lie group is determined by its [Formula: see text]-algebra. We prove that, within the class of exponential Lie groups, direct products of Heisenberg groups with abelian Lie groups are uniquely determined even by ...
I. Beltiţă, D. Beltiţă
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Compact groups with countable Engel sinks
Bulletin of Mathematical Sciences, 2021 An Engel sink of an element g of a group G is a set ℰ(g) such that for every x ∈ G all sufficiently long commutators [...[[x,g],g],…,g] belong to ℰ(g).
E. I. Khukhro, P. Shumyatsky
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Quiver theories and formulae for nilpotent orbits of Exceptional algebras
Journal of High Energy Physics, 2017 We treat the topic of the closures of the nilpotent orbits of the Lie algebras of Exceptional groups through their descriptions as moduli spaces, in terms of Hilbert series and the highest weight generating functions for their representation content.
Amihay Hanany, Rudolph Kalveks
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