Results 71 to 80 of about 1,824,364 (240)
Unitary representability of free abelian topological groups
Applied General Topology, 2008 For every Tikhonov space X the free abelian topological group A(X) and the free locally convex vector space L(X) admit a topologically faithful unitary representation. For compact spaces X this is due to Jorge Galindo.
Vladimir V. Uspenskij
doaj +1 more source
Whittaker unitary dual of affine graded Hecke algebras of type E [PDF]
, 2007 This paper gives the classification of the Whittaker unitary dual for affine graded Hecke algebras of type E. By the Iwahori-Matsumoto involution, this is equivalent also to the classification of the spherical unitary dual for type E. This work completes the classification of the Whittaker Iwahori-spherical unitary dual, or equivalently, the spherical ...
arxiv +1 more source
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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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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The Super Orbit Challenge [PDF]
arXiv, 2019 When using the generally adopted definition of a super unitary representation, there are lots of super Lie groups for which the regular representation is not super unitary. I propose a new definition of a super unitary representation for which all regular representations are super unitary. I then choose a particular super Lie group (of Heisenberg type)
arxiv
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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Unitary representations of Hecke algebras of complex reflection groups [PDF]
arXiv, 2009 We begin the study of unitary representations of Hecke algebras of complex reflections groups. We obtain a complete classification for the Hecke algebra of the symmetric group $\mathfrak{S}_n$ over the complex numbers. Interestingly, the unitary representations in the category $\OO$ for the rational Cherednik algebra of type A studied in \cite{ESG ...
arxiv
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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Parameter-dependent unitary transformation approach for quantum Rabi model
New Journal of Physics, 2021 Quantum Rabi model has been exactly solved by employing the parameter-dependent unitary transformation method in both the occupation number representation and the Bargmann space.
Degang Zhang
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Hodge theory and unitary representations, in the example of $\mathrm{SL}(2,\mathbb{R})$ [PDF]
arXiv, 2015 We describe our conjecture about the irreducible unitary representations of reductive Lie groups, in the special case of $\mathrm{SL}(2,\mathbb{R})$.
arxiv