Results 11 to 20 of about 1,209 (160)

Lie groups locally isomorphic to generalized Heisenberg groups [PDF]

open access: yesProceedings of the American Mathematical Society, 2008
We classify connected Lie groups which are locally isomorphic to generalized Heisenberg groups. For a given generalized Heisenberg group N N
Tamaru, Hiroshi, Yoshida, Hisashi
openaire   +2 more sources

Existence results to a Leray–Lions type problem on the Heisenberg Lie groups

open access: yesBoundary Value Problems, 2022
Abstract Here, the existence and multiplicity of weak solutions to a generalized $(p(\cdot ),q(\cdot ))$ ( p ( ⋅
A. Razani, F. Safari
openaire   +3 more sources

Invariant Solutions and Conservation Laws of the Variable-Coefficient Heisenberg Ferromagnetic Spin Chain Equation

open access: yesFrontiers in Physics, 2020
The variable-coefficient Heisenberg ferromagnetic spin chain (vcHFSC) equation is investigated using the Lie group method. The infinitesimal generators and Lie point symmetries are reported.
Na Liu, Na Liu
doaj   +1 more source

Dual Lie algebras of Heisenberg Poisson Lie groups

open access: yesTsukuba Journal of Mathematics, 1993
Starting point is an arbitrary Heisenberg Lie algebra \(L\) \(([L,L] = Z(L)\) with one-dimensional center \(Z(L)\)) and the set of its multiplicative Poisson structures. The authors study the dual Lie algebras induced on \(L\) by these structures.
Mikami, Kentaro, Narita, Fumio
openaire   +2 more sources

The Harmonic Oscillator on the Heisenberg Group

open access: yesComptes Rendus. Mathématique, 2020
In this note we present a notion of harmonic oscillator on the Heisenberg group $\mathbf{H}_n$ which forms the natural analogue of the harmonic oscillator on $\mathbb{R}^n$ under a few reasonable assumptions: the harmonic oscillator on $\mathbf{H}_n ...
Rottensteiner, David, Ruzhansky, Michael
doaj   +1 more source

Phase diagram of a distorted kagome antiferromagnet and application to Y-kapellasite

open access: yesnpj Computational Materials, 2022
We investigate the magnetism of a previously unexplored distorted spin-1/2 kagome model consisting of three symmetry-inequivalent nearest-neighbor antiferromagnetic Heisenberg couplings J ⬡, J, and $$J^{\prime}$$ J ′ , and uncover a rich ground state ...
Max Hering   +6 more
doaj   +1 more source

Multi-fixed point numerical conformal bootstrap: a case study with structured global symmetry

open access: yesJournal of High Energy Physics, 2021
In large part, the future utility of modern numerical conformal bootstrap depends on its ability to accurately predict the existence of hitherto unknown non-trivial conformal field theories (CFTs). Here we investigate the extent to which this is possible
Matthew T. Dowens, Chris A. Hooley
doaj   +1 more source

The Local Structure of the Cyclic Cohomology of Heisenberg Lie Groups

open access: yesJournal of Functional Analysis, 1994
Let \(G\) be a connected, simply connected nilpotent Lie group of dimension \(n\) and \(S(G)\) the convolution algebra of the Schwartz functions. It is known [\textit{G. A. Elliott} and the authors, Cyclic cohomology for one- parameter smooth crossed products, Acta Math. 160, No.
Natsume, T., Nest, R.
openaire   +2 more sources

Heisenberg parabolically induced representations of Hermitian Lie groups, Part I: Intertwining operators and Weyl transform

open access: yesAdvances in Mathematics, 2023
In the paper under reviewing, by using the Fourier transformed Knapp-Stein intertwining operators, the authors study decomposability of representations induced from a character of the maximal parabolic subgroup with a Heisenberg group as its radical. A reductive Lie group \(G\) is Hermitian if its symmetric space \(K\backslash G\) is Hermitian.
Frahm, Jan; id_orcid 0000-0003-4174-5933   +2 more
openaire   +4 more sources

Group theoretic approach to many-body scar states in fermionic lattice models

open access: yesPhysical Review Research, 2021
It has been shown [K. Pakrouski et al., Phys. Rev. Lett. 125, 230602 (2020)PRLTAO0031-900710.1103/PhysRevLett.125.230602] that three families of highly symmetric states are many-body scars for any spin-1/2 fermionic Hamiltonian of the form H_{0}+OT ...
K. Pakrouski   +3 more
doaj   +1 more source

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