Results 11 to 20 of about 32,142 (201)
Ricci-flat and Einstein pseudoriemannian nilmanifolds
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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Generalized Analogs of the Heisenberg Uncertainty Inequality [PDF]
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
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Extremal Curves in Nilpotent Lie Groups [PDF]
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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Quiver theories and formulae for nilpotent orbits of Exceptional algebras
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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zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Levin, Frank, Sehgal, Sudarshan
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Quantization on Nilpotent Lie Groups [PDF]
Topological Groups, Lie Groups; Abstract Harmonic Analysis; Functional Analysis; Mathematical ...
Ruzhansky, M, Fischer, V
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Linear Dynamical Systems of Nilpotent Lie Groups [PDF]
25 pages; to appear in J.
Ingrid Beltiţă, Daniel Beltiţă
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On Properties of the (2n+1)-Dimensional Heisenberg Lie Algebra
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
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Isometry groups of six-dimensional filiform nilmanifolds [PDF]
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
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Some relations between Hodge numbers and invariant complex structures on compact nilmanifolds
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
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