Results 11 to 20 of about 68,205 (182)

Lie structure of the Heisenberg-Weyl algebra [PDF]

International Electronic Journal of Algebra, 2022
As an associative algebra, the Heisenberg--Weyl algebra $\HWeyl$ is generated by two elements $A$, $B$ subject to the relation $AB-BA=1$. As a Lie algebra, however, where the usual commutator serves as Lie bracket, the elements $A$ and $B$ are not able to generate the whole space $\HWeyl$.
R. Cantuba
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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, Putri Giza Maharani, Alit Kartiwa   +2 more
doaj   +2 more sources

Small oscillations and the Heisenberg Lie algebra [PDF]

Journal of Physics A: Mathematical and Theoretical, 2007
17 pages, it contains a theory about small oscillations in terms of the AKS ...
G. Ovando
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A Hardy’s Uncertainty Principle Lemma in Weak Commutation Relations of Heisenberg-Lie Algebra [PDF]

Letters in Mathematical Physics, 2010
In this article we consider linear operators satisfying a generalized commutation relation of a type of the Heisenberg-Lie algebra. It is proven that a generalized inequality of the Hardy’s uncertainty principle lemma follows.
Toshimitsu Takaesu
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Irreducible modules for map Heisenberg–Virasoro Lie algebras [PDF]

Journal of Algebra and Its Applications, 2023
We study irreducible modules for map Heisenberg–Virasoro algebras. In particular, we give a complete classification of irreducible Harish–Chandra modules for map Heisenberg–Virasoro algebras. We will also classify non-weight irreducible modules for map Heisenberg–Virasoro algebras whose restriction on the degree zero part of the universal enveloping ...
Priyanshu Chakraborty
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Loop Heisenberg-Virasoro Lie conformal algebra [PDF]

Journal of Mathematical Physics, 2014
Let HV be the loop Heisenberg-Virasoro Lie algebra over ℂ with basis {Lα,i, Hβ,j∣α, β, i, j ∈ ℤ} and brackets [Lα,i, Lβ,j] = (α − β) Lα+β,i+j, [Lα,i, Hβ,j] = − βHα+β,i+j, [Hα,i, Hβ,j] = 0. In this paper, a formal distribution Lie algebra of HV is constructed.
Guangzhe Fan, Yucai Su, Su Yucai
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The Betti numbers for Heisenberg Lie algebras

Journal of Algebraic Combinatorics, 2019
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
M. Alvarez
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New irreducible modules for Heisenberg and affine Lie algebras

Journal of Algebra, 2013
We study $\mathbb Z$-graded modules of nonzero level with arbitrary weight multiplicities over Heisenberg Lie algebras and the associated generalized loop modules over affine Kac-Moody Lie algebras. We construct new families of such irreducible modules over Heisenberg Lie algebras.
Iryna Kashuba, Viktor Bekkert, Vyacheslav Futorny   +2 more
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Lie bialgebra structures on the twisted Heisenberg–Virasoro algebra

Journal of Algebra, 2012
In this paper we investigate Lie bialgebra structures on the twisted Heisenberg-Virasoro algebra. With the classifications of Lie bialgebra structures on the Virasoro algebra, we determined such structures on the twisted Heisenberg-Virasoro algebra. Moreover, some general and useful results are obtained.
Dong Liu, Yufeng Pei, Linsheng Zhu
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Deformations of the five dimensional Heisenberg Lie algebra

Journal of Mathematical Physics
In this note we explicitly give all the equivalent classes of deformations of the five-dimensional Heisenberg Lie algebra h2 over C or R. We show that there are altogether 20 infinitesimal deformations (families), 18 of them being extendable to real deformations and 2 of them are only infinitesimal.
Ashis Mandal, Alice Fialowski, Ashis Mandal   +2 more
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