Biharmonic Curves in 3-dimensional Hyperbolic Heisenberg Group [PDF]
In this paper we study the non-geodesic non-null biharmonic curves in 3-dimensional hyperbolic Heisenberg group. We prove that all of the non-geodesic non-null biharmonic curves in 3-dimensional hyperbolic Heisenberg group are helices. Moreover, we obtain explicit parametric equations for non-geodesic non-null biharmonic curves and non-geodesic ...
arxiv
๐(๐)-spherical functions on Heisenberg groups [PDF]
Chal Benson, Joe Jenkins, Gail Ratcliff
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On Schur multiplier and projective representations of Heisenberg groups [PDF]
In this article, we study the Schur mutiplier of the discrete as well as the finite Heisenberg groups and their t-variants. We describe the representation groups of these Heisenberg groups and through these give a construction of their finite dimensional complex projective irreducible representations.
arxiv
Heisenberg XXZ model and quantum Galilei group [PDF]
Francesco Bonechi+4 more
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Fine gradings and their Weyl groups for twisted Heisenberg Lie superalgebras [PDF]
In this paper we define the so-called twisted Heisenberg superalgebras over the complex number field by adding derivations to Heisenberg superalgebras. We classify the fine gradings up to equivalence on twisted Heisenberg superalgebras and determine the Weyl groups of those gradings.
arxiv
Spectra for Gelfand pairs associated with the Heisenberg group [PDF]
Chal Benson+3 more
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Derivations, 2-local derivations, biderivations and automorphisms of generalized Loop Heisenberg-Virasoro algebras [PDF]
In this paper, generalized Loop Heisenberg-Virasoro algebras are introduced. Firstly, we determine the derivations on generalized Loop Heisenberg-Virasoro algebras. Then we show that all 2-local derivations are derivations. Furthermore, we determine the biderivations on generalized Loop Heisenberg-Virasoro algebras are inner biderivations and give ...
arxiv
Fundamental solutions for translation and rotation invariant differential operators on the Heisenberg group [PDF]
Priscilla Gorelli
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Unitary representations of the two-dimensional Euclidean group in the Heisenberg algebra [PDF]
H. Ahmedov, I. H. Duru
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Blow-ups of minimal surfaces in the Heisenberg group
In this article, we revise Montiโs results on blow-ups of H-perimeter minimizing sets in Hn{{\mathbb{H}}}^{n}. Monti demonstrated that the Lipschitz approximation of the blow-up, after rescaling by the square root of the excess, converges to a limit ...
Yu Yonghao
doaj +1 more source