Results 21 to 30 of about 9,331,100 (206)
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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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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The Number of Sides of a Parallelogram [PDF]
Discrete Mathematics & Theoretical Computer Science, 1999 We define parallelograms of base a and b in a group. They appear as minimal relators in a presentation of a subgroup with generators a and b. In a Lie group they are realized as closed polygonal lines, with sides being orbits of left-invariant vector ...
Elisha Falbel, Pierre-Vincent Koseleff
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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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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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Nilpotent subspaces of maximal dimension in semisimple Lie algebras [PDF]
, 2006 We show that a linear subspace of a reductive Lie algebra g that consists of nilpotent elements has dimension at most equal to the number of positive roots, and that any nilpotent subspace attaining this upper bound is equal to the nilradical of a Borel ...
Kuttler, J +8 more
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Journal of Pure and Applied Algebra, 1985 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Levin, Frank, Sehgal, Sudarshan
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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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Group algebras and Lie nilpotence
Journal of Algebra, 2013 Let \(F\) be a field of characteristic zero or odd prime characteristic \(p\), \(G\) a group, \(FG\) the group algebra. The authors continue their research on the properties of symmetric and skew-symmetric elements of \(FG\) with respect to an algebra involution \(*\) induced by an involution on the group, communicated in a series of papers, recent ...
GIAMBRUNO, Antonino +2 more
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Ricci-flat and Einstein pseudoriemannian nilmanifolds
Complex Manifolds, 2019 This is partly an expository paper, where the authors’ work on pseudoriemannian Einstein metrics on nilpotent Lie groups is reviewed. A new criterion is given for the existence of a diagonal Einstein metric on a nice nilpotent Lie group.
Conti Diego, Rossi Federico A.
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