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Unitary Representations of Rational Cherednik Algebras
Published 2011Get full text
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Unitary representability of free abelian topological groups
Published 2008-10-01Subjects: “…Unitary representation…”
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Null infinity and unitary representation of the Poincare group
Published 2019-01-01Get full text
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UNITARY REPRESENTATIONS OF SOME INFINITE DIMENSIONAL GROUPS
Published 1981“…We construct projective unitary representations of (a) Map(S1;G), the group of smooth maps from the circle into a compact Lie group G, and (b) the group of diffeomorphisms of the circle. …”
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The structure of certain unitary representations of infinite symmetric groups,
Published 2005Get full text
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Unitary representations of rational Cherednik algebras and Hecke algebras
Published 2011Get full text
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Types and unitary representations of reductive p-adic groups
Published 2018“…We prove that for every Bushnell–Kutzko type that satisfies a certain rigidity assumption, the equivalence of categories between the corresponding Bernstein component and the category of modules for the Hecke algebra of the type induces a bijection between irreducible unitary representations in the two categories. Moreover, we show that every irreducible smooth G-representation contains a rigid type. …”
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Types and unitary representations of reductive p-adic groups
Published 2018“…We prove that for every Bushnell-Kutzko type that satisfies a certain rigidity assumption, the equivalence of categories between the corresponding Bernstein component and the category of modules for the Hecke algebra of the type induces a bijection between irreducible unitary representations in the two categories. Moreover, we show that every irreducible smooth G-representation contains a rigid type. …”
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Branching Laws for Some Unitary Representations of SL(4,R)
Published 2008-02-01Subjects: Get full text
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The unitary representations of the Poincar\'e group in any spacetime dimension
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A diagrammatic approach to unitary representations of rational Cherednik algebras
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Non-unitary representations of nilpotent groups, I: Cohomologies, extensions and neutral cocycles
Published 2015“…Let λbe a finite-dimensional representation of a connected nilpotent group Gand Ube a unitary representation of G. We investigate the structure of the extensions of λby Uand, correspondingly, the group H1(λ, U)of 1-cohomologies. …”
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Mapping renormalized coupled cluster methods to quantum computers through a compact unitary representation of nonunitary operators
Published 2022-12-01“…In this paper, we propose a quantum algorithm for computing MMCC ground-state energies that provides two main advantages over classical computing or other quantum algorithms: (i) the possibility of forming superpositions of CC moments of arbitrary ranks in the entire Hilbert space and using an arbitrary form of the parent cluster operator for MMCC expansion, and (ii) significant reduction in the number of measurements in quantum simulation through a compact unitary representation for a generally nonunitary operator. …”
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Editorial to the Special Issue “80 Years of Professor Wigner’s Seminal Work: On Unitary Representations of the Inhomogeneous Lorentz Group”
Published 2021-08-01“…The present Special Issue is dedicated to celebrate 80 years of the Professor Eugene Paul Wigner paper “On Unitary Representations of the Inhomogeneous Lorentz Group”, published in 1939 [...]…”
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Sampling Associated with a Unitary Representation of a Semi-Direct Product of Groups: A Filter Bank Approach
Published 2019-04-01Subjects: Get full text
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