Results 1 to 10 of about 67,654 (226)

The Braided Heisenberg Group [PDF]

open access: yesJournal of Mathematical Physics, 1992
We compute the braided groups and braided matrices $B(R)$ for the solution $R$ of the Yang-Baxter equation associated to the quantum Heisenberg group.
Faddeev L., S. Majid, W. K. Baskerville
core   +5 more sources

Heisenberg Idempotents on Unipotent Groups [PDF]

open access: yesMathematical Research Letters, 2009
Let G be an algebraic group over an algebraically closed field of positive characteristic such that its neutral connected component is a unipotent group.
Deshpande, Tanmay
core   +3 more sources

Pseudo-Riemannian Symmetries on Heisenberg groups [PDF]

open access: yesAnnals of the Alexandru Ioan Cuza University - Mathematics, 2014
The notion of $\Gamma$-symmetric space is a natural generalization of the classical notion of symmetric space based on $\Z_2$-grading of Lie algebras.
Goze, Michel   +2 more
core   +4 more sources

Note on Heisenberg Characters of Heisenberg Groups

open access: yesRatio Mathematica, 2018
An irreducible character χ of a group G is called a Heisenberg character, if Kerχ ⊇ [G,[G,G]]. In this paper, the Heisenberg characters of the quaternion Heisenberg, generalized Heisenberg, polarised Heisenberg and three other types of infinite ...
Alieh Zolfi, Ali Reza Ashrafi
doaj   +2 more sources

On the endomorphism semigroups of extra-special $p$-groups and automorphism orbits [PDF]

open access: yesInternational Journal of Group Theory, 2022
For an odd prime $p$ and a positive integer $n$, it is well known that there are two types of extra-special $p$-groups of order $p^{2n+1}$, first one is the Heisenberg group which has exponent $p$ and the second one is of exponent $p^2$.
Chudamani Pranesachar Anil Kumar   +1 more
doaj   +1 more source

Geometry of left-invariant Randers metric on the Heisenberg groups [PDF]

open access: yesArab Journal of Mathematical Sciences, 2023
Purpose – In this paper, we consider the Heisenberg groups which play a crucial role in both geometry and theoretical physics. Design/methodology/approach – In the first part, we retrieve the geometry of left-invariant Randers metrics on the Heisenberg ...
Ghodratallah Fasihi-Ramandi   +1 more
doaj   +1 more source

Generalized Heisenberg-Weyl groups and Hermite functions

open access: yesSciPost Physics Proceedings, 2023
A generalisation of Euclidean and pseudo-Euclidean groups is presented, where the Weyl-Heisenberg groups, well known in quantum mechanics, are involved. A new family of groups is obtained including all the above-mentioned groups as subgroups. Symmetries,
Enrico Celeghini, Manuel Gadella, Mariano A. del Olmo
doaj   +1 more source

Weighted Rellich Inequality on H-Type Groups and Nonisotropic Heisenberg Groups

open access: yesJournal of Inequalities and Applications, 2010
We prove a sharp weighted Rellich inequality associated with a class of Greiner-type vector fields on H-type groups. We also obtain some weighted Hardy- and Rellich-type inequalities on nonisotropic Heisenberg groups. As an application, we get a Rellich-
Han Yazhou, Jin Yongyang
doaj   +2 more sources

Sobolev-Gaffney type inequalities for differential forms on sub-Riemannian contact manifolds with bounded geometry

open access: yesAdvanced Nonlinear Studies, 2022
In this article, we establish a Gaffney type inequality, in Wℓ,p{W}^{\ell ,p}-Sobolev spaces, for differential forms on sub-Riemannian contact manifolds without boundary, having bounded geometry (hence, in particular, we have in mind noncompact manifolds)
Baldi Annalisa   +2 more
doaj   +1 more source

Surjektifitas Pemetaan Eksponensial untuk Grup Lie Heisenberg yang Diperumum

open access: yesJambura 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   +2 more
doaj   +1 more source

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