Results 71 to 80 of about 291,666 (209)
On the Moore Formula of Compact Nilmanifolds
Symmetry, Integrability and Geometry: Methods and Applications, 2009 Let G be a connected and simply connected two-step nilpotent Lie group and Γ a lattice subgroup of G. In this note, we give a new multiplicity formula, according to the sense of Moore, of irreducible unitary representations involved in the decomposition ...
Hatem Hamrouni
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On Orbifold Criteria for Symplectic Toric Quotients
Symmetry, Integrability and Geometry: Methods and Applications, 2013 We introduce the notion of regular symplectomorphism and graded regular symplectomorphism between singular phase spaces. Our main concern is to exhibit examples of unitary torus representations whose symplectic quotients cannot be graded regularly ...
Carla Farsi +2 more
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Harmonic Analysis in One-Parameter Metabelian Nilmanifolds
Symmetry, Integrability and Geometry: Methods and Applications, 2011 Let G be a connected, simply connected one-parameter metabelian nilpotent Lie group, that means, the corresponding Lie algebra has a one-codimensional abelian subalgebra. In this article we show that G contains a discrete cocompact subgroup.
Amira Ghorbel
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Interaction of non-Abelian tensor gauge fields
Physics Letters B, 2018 The non-Abelian tensor gauge fields take value in extended Poincaré algebra. In order to define the invariant Lagrangian we introduce a vector variable in two alternative ways: through the transversal representation of the extended Poincaré algebra and ...
George Savvidy
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Branching Laws for Some Unitary Representations of SL(4,R)
Symmetry, Integrability and Geometry: Methods and Applications, 2008 In this paper we consider the restriction of a unitary irreducible representation of type A_q(λ) of GL(4,R) to reductive subgroups H which are the fixpoint sets of an involution. We obtain a formula for the restriction to the symplectic group and to GL(2,
Birgit Speh, Bent Ørsted
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Functional model for extensions of symmetric operators and applications to scattering theory
Networks and Heterogeneous Media, 2018 On the basis of the explicit formulae for the action of the unitary group of exponentials corresponding to almost solvable extensions of a given closed symmetric operator with equal deficiency indices, we derive a new representation for the scattering ...
Kirill D. Cherednichenko +2 more
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On the extensions of infinite-dimensional representations of Lie semigroups
International Journal of Mathematics and Mathematical Sciences, 2002 The necessary and sufficient conditions have been obtained for extendability of a Banach representation of a generating Lie semigroup S to a local representation of the Lie group G generated by S when the tangent wedge of S is a Lie semialgebra. The most
Adolf R. Mirotin
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Unitary Representations of Some Linear Groups [PDF]
Nagoya Mathematical Journal, 1952 Recently I. Gelfand and M. Neumark [2] have determined the types of irreducible unitary representations of the group G1 of linear transformations of the straight line. The analogous result is obtained for the group G2 of transformations z → az + b in the complex-number plane , where a and b run over all complex numbers with the exception of a = 0 ...
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Unitary equivalence in generalized uncertainty principle theories
Nuclear Physics BWe analyze the issue of unitary equivalence within Generalized Uncertainty Principle (GUP) theories in the one-dimensional case. For a deformed Heisenberg algebra, its representation in terms of Hilbert space and conjugate operators is not uniquely ...
Sebastiano Segreto, Matteo Bruno
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, 2014 We consider a dual pair $(G,G')$, in the sense of Howe, with $G$ compact acting on $L^2(\mathbb R^n)$ for an appropriate $n$ via the Weil Representation. Let $\widetilde{G}$ be the preimage of $G$ in the metaplectic group.
McKee, M., Pasquale, A., Przebinda, T.
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