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The Local Structure of the Cyclic Cohomology of Heisenberg Lie Groups
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.
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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
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Group theoretic approach to many-body scar states in fermionic lattice models
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
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Complete classification of homogeneous structures on Lorentzian direct extensions of the Heisenberg group [PDF]
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
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Riesz potentials and p -superharmonic functions in Lie groups of Heisenberg type [PDF]
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
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On the centroid of Heisenberg Lie algebra
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
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Poisson-Lie analogues of spin Sutherland models
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
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Automorphic Lie algebras with dihedral symmetry [PDF]
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
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Noncommutative spaces of worldlines
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
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The Invariant Two-Parameter Function of Algebras ψ
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
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