Results 11 to 20 of about 5,668,334 (196)
Elementary Lie Algebras and Lie A-Algebras. [PDF]
, 2007 A finite-dimensional Lie algebra L over a field F is called elementary if each of its subalgebras has trivial Frattini ideal; it is an A-algebra if every nilpotent subalgebra is abelian. The present paper is primarily concerned with the classification of
Varea, Vicente R., Towers, David A.
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Solvable Lie A-algebras. [PDF]
, 2011 A finite-dimensional Lie algebra $L$ over a field $F$ is called an $A$-algebra if all of its nilpotent subalgebras are abelian. This is analogous to the concept of an $A$-group: a finite group with the property that all of its Sylow subgroups are abelian.
Towers, David A.
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ON UNITARY REPRESENTATIONS OF NILPOTENT LIE GROUPS. [PDF]
Proc Natl Acad Sci U S A, 1957 In dieser Arbeit werden die hauptsächlichen Ergebnisse der nachfolgend referierten Arbeit angekündigt [vgl. Bull. Math. Soc. Fr. 85, 325--388 (1957; Zbl 0085.10303)].
Dixmier J.
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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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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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Two Generator Subalgebras Of Lie Algebras. [PDF]
, 2007 In [14] Thompson showed that a finite group G is solvable if and only if every twogenerated subgroup is solvable (Corollary 2, p. 388). Recently, Grunevald et al.
Kevin Bowman +5 more
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Extremal Curves in Nilpotent Lie Groups [PDF]
Geometric and Functional Analysis, 2013 We classify extremal curves in free nilpotent Lie groups. The classification is obtained via an explicit integration of the adjoint equation in Pontryagin Maximum Principle. It turns out that abnormal extremals are precisely the horizontal curves contained in algebraic varieties of a specific type. We also extend the results to the nonfree case.
E. Le Donne +3 more
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Almost nilpotent Lie algebras [PDF]
, 1987 Throughout we shall consider only finite-dimensional Lie algebras over a field of characteristic zero. In [3] it was shown that the classes of solvable and of supersolvable Lie algebras of dimension greater than two are characterised by the structure of ...
Towers, David
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Quantization on Nilpotent Lie Groups [PDF]
, 2016 Topological Groups, Lie Groups; Abstract Harmonic Analysis; Functional Analysis; Mathematical ...
Ruzhansky, M, Fischer, V
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Approximate lattices and Meyer sets in nilpotent Lie groups
Discrete Analysis, 2020 Approximate lattices and Meyer sets in nilpotent Lie groups, Discrete Analysis 2020:1, 18 pp. A central result in additive combinatorics, Freiman's theorem, describes the structure of any finite set $A$ of integers with the property that its sumset $A+A$
Simon Machado
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