Results 11 to 20 of about 32,142 (201)

Ricci-flat and Einstein pseudoriemannian nilmanifolds

open access: yesComplex 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.
doaj   +2 more sources

Generalized Analogs of the Heisenberg Uncertainty Inequality [PDF]

open access: yes, 2015
We investigate locally compact topological groups for which a generalized analogue of Heisenberg uncertainty inequality hold. In particular, it is shown that this inequality holds for $\mathbb{R}^n \times K$ (where $K$ is a separable unimodular locally ...
Bansal, Ashish, Kumar, Ajay
core   +2 more sources

Extremal Curves in Nilpotent Lie Groups [PDF]

open access: yesGeometric 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
openaire   +6 more sources

Quiver theories and formulae for nilpotent orbits of Exceptional algebras

open access: yesJournal 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
doaj   +1 more source

On lie nilpotent group rings

open access: yesJournal of Pure and Applied Algebra, 1985
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Levin, Frank, Sehgal, Sudarshan
openaire   +2 more sources

Quantization on Nilpotent Lie Groups [PDF]

open access: yes, 2016
Topological Groups, Lie Groups; Abstract Harmonic Analysis; Functional Analysis; Mathematical ...
Ruzhansky, M, Fischer, V
openaire   +6 more sources

Linear Dynamical Systems of Nilpotent Lie Groups [PDF]

open access: yesJournal of Fourier Analysis and Applications, 2021
25 pages; to appear in J.
Ingrid Beltiţă, Daniel Beltiţă
openaire   +3 more sources

On Properties of the (2n+1)-Dimensional Heisenberg Lie Algebra

open access: yesJTAM (Jurnal Teori dan Aplikasi Matematika), 2020
In the present paper, we study some properties of the Heisenberg Lie algebra of dimension . The main purpose of this research is to construct a real Frobenius Lie algebra from the Heisenberg Lie algebra of dimension .
Edi Kurniadi
doaj   +1 more source

Isometry groups of six-dimensional filiform nilmanifolds [PDF]

open access: yesInternational Journal of Group Theory, 2023
In this paper, we classify up to isometry the connected and simply connected Riemannian nilmanifolds on six-dimensional filiform Lie groups and we compute the corresponding isometry groups.
Agota Figula, Sameer Annon Abbas
doaj   +1 more source

Some relations between Hodge numbers and invariant complex structures on compact nilmanifolds

open access: yesComplex Manifolds, 2017
Let N be a simply connected real nilpotent Lie group, n its Lie algebra, and € a lattice in N. If a left-invariant complex structure on N is Γ-rational, then HƏ̄s,t(Γ/N) ≃ HƏ̄s,t(nC) for each s; t.
Yamada Takumi
doaj   +1 more source

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