Results 21 to 30 of about 1,157 (152)
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_ ( )(g) = \int_{\G} N(g^{-1} g')^{ -Q} (g') dg', \qquad ...
GAROFALO, NICOLA, J. T. Tyson
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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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The Local Structure of the Cyclic Cohomology of Heisenberg Lie Groups
Journal 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.
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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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Principal series of Hermitian Lie groups induced from Heisenberg parabolic subgroups
Journal of Functional Analysis, 2022 Let $G$ be an irreducible Hermitian Lie group and $D=G/K$ its bounded symmetric domain in $\mathbb C^d$ of rank $r$. Each $ $ of the Harish-Chandra strongly orthogonal roots $\{ _1, \cdots, _r\}$ defines a Heisenberg parabolic subgroup $P=MAN$ of $G$.
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Conformally Einstein Lorentzian Lie Groups with Heisenberg Symmetry
Results in MathematicsWe describe all Lorentzian semi-direct extensions of the Heisenberg group which are conformally Einstein. As a by side result, Bach-flat left-invariant Lorentzian metrics on semi-direct extensions of the Heisenberg group are classified, thus providing new background solutions in conformal gravity.
E. Calviño-Louzao +3 more
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Translations in simply transitive affine actions of Heisenberg type Lie groups
Linear Algebra and its Applications, 2003 Let \((x,y)\mapsto x\cdot y\) be a complete left-symmetric structure on a nilpotent Lie algebra \({\mathfrak g}\). Let \(T({\mathfrak g})\) be the set of \(x\in {\mathfrak g}\) satisfying \(x\cdot y=0\) for all \(y\in {\mathfrak g}\). The left-symmetric structure induces a simply transitive action of a nilpotent Lie group \(G\) such that \(\exp (T ...
De Cat, Tine +2 more
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Advanced Functional Materials, EarlyView.From a database of 170 pentagonal 2D materials, 4 candidates exhibiting altermagnetic ordering are screened. Furthermore, the spin‐splitting and unconventional boundary states in the pentagonal 2D altermagnetic monolayer MnS2 are investigated. A MnS2‐based altermagnetic tunneling junction is designed and, through ab initio quantum transport simulations,
Jianhua Wang +8 more
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