Results 161 to 170 of about 208,984 (218)

On the Converse of Pansu's Theorem. [PDF]

open access: yesArch Ration Mech Anal
De Philippis G   +4 more
europepmc   +1 more source

UNITARY REPRESENTATIONS OF NILPOTENT LIE GROUPS

Russian Mathematical Surveys, 1962
CONTENTSIntroduction § 1. Induced representations § 2. Representations of Lie algebras and infinitesimal group rings § 3. A special nilpotent group N § 4. Nilpotent Lie groups with one-dimensional centre § 5. Description of the representations of nilpotent Lie groups § 6. Orbits and representations § 7. Representations of the group ring § 8.
A. Kirillov
openaire   +3 more sources

Isometry Groups of 4-Dimensional Nilpotent Lie Groups

Journal of Mathematical Sciences, 2017
A complete description of the isometry groups of left invariant metrics on 4-dimensional simply connected nilpotent Lie groups \(N\) is given. There are only two nonabelian 4-dimensional nilpotent Lie algebras - 2-nilpotent \(n_3\oplus \mathbf R\) and 3-nilpotent \(n_4\).
T. Šukilović
openaire   +3 more sources

The heat kernel of sub-Laplace operator on nilpotent Lie groups of step two

Applicable Analysis, 2021
The Laguerre calculus is widely used for the inversion of differential operators on the Heisenberg group. Applying the Laguerre calculus established on nilpotent Lie groups of step two in Chang et al.
D. Chang, Qianqian Kang, Wei Wang
semanticscholar   +1 more source

Positive Hermitian curvature flow on complex 2-step nilpotent Lie groups

Manuscripta mathematica, 2020
We study the positive Hermitian curvature flow of left-invariant metrics on complex 2-step nilpotent Lie groups. In this setting we completely characterize the long-time behaviour of the flow, showing that normalized solutions to the flow subconverge to ...
Mattia Pujia
semanticscholar   +1 more source

GENERALIZED LIE NILPOTENT GROUP RINGS

Mathematics of the USSR-Sbornik, 1987
Translation from Mat. Sb., Nov. Ser. 129(171), No.1, 154-158 (Russian) (1986; Zbl 0601.16011).
Bovdi, A. A., Khripta, I. I.
openaire   +2 more sources

Killing–Yano 2-forms on 2-step nilpotent Lie groups

Geometriae Dedicata, 2019
In this article we show that the only 2-step nilpotent Lie groups which carry a non-degenerate left invariant Killing–Yano 2-form are the complex Lie groups.
A. Andrada, I. Dotti
semanticscholar   +1 more source

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