Results 21 to 30 of about 9,218,372 (188)

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

Complete classification of homogeneous structures on Lorentzian direct extensions of the Heisenberg group [PDF]

open access: yesریاضی و جامعه
The Heisenberg Lie group is one of the most famous and important Lie groups among the family of three dimensional Lie groups. The direct extension of this group to the fourth dimension was taken into consideration in the study of the nilpotent Lie ...
Amirhesam Zaeim   +2 more
doaj   +1 more source

Riesz potentials and p -superharmonic functions in Lie groups of Heisenberg type [PDF]

open access: yesBulletin of the London Mathematical Society, 2011
We prove a superposition principle for Riesz potentials of nonnegative continuous functions on Lie groups of Heisenberg type. More precisely, we show that the Riesz potential $$ R_α(ρ)(g) = \int_{\G} N(g^{-1} g')^{α-Q} ρ(g') dg', \qquad ...
GAROFALO, NICOLA, J. T. Tyson
openaire   +2 more sources

On the centroid of Heisenberg Lie algebra

open access: yes四川大学学报. 自然科学版, 2023
Heisenberg Lie algebra belongs to a class of solvable Lie algebra. It has a deep physical background and thus is an important object of Lie algebra study.
YU De-Ming, MA Jie-Jing, JIANG Chan
doaj  

Poisson-Lie analogues of spin Sutherland models

open access: yesNuclear Physics B, 2019
We present generalizations of the well-known trigonometric spin Sutherland models, which were derived by Hamiltonian reduction of ‘free motion’ on cotangent bundles of compact simple Lie groups based on the conjugation action.
L. Fehér
doaj   +1 more source

Automorphic Lie algebras with dihedral symmetry [PDF]

open access: yes, 2014
The concept of automorphic Lie algebras arises in the context of reduction groups introduced in the early 1980s in the field of integrable systems.
Sanders, Jan   +10 more
core   +1 more source

Noncommutative spaces of worldlines

open access: yesPhysics Letters B, 2019
The space of time-like geodesics on Minkowski spacetime is constructed as a coset space of the Poincaré group in (3+1) dimensions with respect to the stabilizer of a worldline.
Angel Ballesteros   +2 more
doaj   +1 more source

The Invariant Two-Parameter Function of Algebras ψ

open access: yesMathematical and Computational Applications, 2019
At present, the research on invariant functions for algebras is very extended since Hrivnák and Novotný defined in 2007 the invariant functions ψ and φ as a tool to study the Inönü−Wigner contractions (IW ...
José María Escobar   +2 more
doaj   +1 more source

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