Results 21 to 30 of about 1,209 (160)
Complete classification of homogeneous structures on Lorentzian direct extensions of the Heisenberg group [PDF]
ریاضی و جامعهThe 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]
Bulletin 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
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On the centroid of Heisenberg Lie algebra
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
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Poisson-Lie analogues of spin Sutherland models
Nuclear 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
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Noncommutative spaces of worldlines
Physics 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
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The Invariant Two-Parameter Function of Algebras ψ
Mathematical 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
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DRINFEL'D TWIST AND q-DEFORMING MAPS FOR LIE GROUP COVARIANT HEISENBERG ALGEBRAE [PDF]
Reviews in Mathematical Physics, 2000 Any deformation of a Weyl or Clifford algebra can be realized through a change of generators in the undeformed algebra. q-deformations of Weyl or Clifford algebrae that were covariant under the action of a simple Lie algebra g are characterized by their being covariant under the action of the quantum group Uhg, q:=eh. We present a systematic procedure
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Geometrical Applications of Split Octonions
Advances in Mathematical Physics, 2015 It is shown that physical signals and space-time intervals modeled on split-octonion geometry naturally exhibit properties from conventional (3 + 1)-theory (e.g., number of dimensions, existence of maximal velocities, Heisenberg uncertainty, and particle
Merab Gogberashvili, Otari Sakhelashvili
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Groups, Special Functions and Rigged Hilbert Spaces
Axioms, 2019 We show that Lie groups and their respective algebras, special functions and rigged Hilbert spaces are complementary concepts that coexist together in a common framework and that they are aspects of the same mathematical reality.
Enrico Celeghini +2 more
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High‐Throughput Discovery of Quantum Frustrated Materials
Advanced Functional Materials, EarlyView.Physics‐guided discovery of frustrated kagome and triangular magnets. ABSTRACT Geometrical frustration provides a fertile platform for realizing exotic quantum phases such as spin liquids, yet, the predictive identification of frustrated magnets remains limited.
Byeong‐Hyeon Jeong +4 more
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