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Multi-Dimensional Quantum-like Resources from Complex Synchronized Networks. [PDF]

Entropy (Basel)
Saha D, Scholes GD.
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Classification of unitary representations extending the left regular representation of an almost normal subgroup of a discrete group

, 2013
Florin Rădulescu
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UNITARY BRAID REPRESENTATIONS

International Journal of Modern Physics A, 1992
The original motivation for studying unitarizable representations of the braid group was to construct interesting examples of subfactors of II1 von Neumann factors. This is possible for representations factoring through Hecke algebras or q-Brauer algebras only if the deformation parameter is a root of unity.
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Unitary representations of CM(3)

Journal of Physics A: Mathematical and General, 1994
Summary: Irreducible unitary representations of the group \(CM(3)\), the ``three-dimensional collective motion group', which is the semidirect product of a six-dimensional Abelian group \(T_6\) and \(SL(3, \mathbb{R})\), are constructed. A countable basis is identified in the carrier space of each representation.
Ogura, Hirohumi, Rowe, David J.
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Unitary-group canonical representations

Canadian Journal of Physics, 1989
A procedure based on symmetric-group basis states is constructed to develop and justify the formalism for the computation of unitary-group canonical matrix elements and states, the quantities needed for physical applications to prepare for such applications. It is shown that this method does give the required canonical decomposition.
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Unitary representations of the unitary group

Mathematical Proceedings of the Cambridge Philosophical Society, 1969
It is well known that every representation of the group Un of unitary matrices of order n × n is equivalent to a unitary representation (see e.g. Little-wood (6), ch. XI). Our object in the present paper is to discuss some properties of those representations, and to construct a specific unitary representation.
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Dixmier Traces and Unitary Representations

Functional Analysis and Its Applications, 2001
Let \(H_{1}, H_{2}\) be separable Hilbert spaces and let \(L(H_{1},H_{2})\) be the space of all bounded linear mappings from \(H_{1}\) to \(H_{2}\). \(J_{2}(H_{1},H_{2})\) denotes the subspace of \(L(H_{1},H_{2})\) of Hilbert-Schmidt mappings. Let \(G\) be a topological group and \(T_{1}, T_{2}\) be unitary representations of \(G\) into \(H_{1}\) and \(
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Positive Unitary Representations

2000
In this chapter we collect some preliminaries in abstract Hilbert analysis which will be used in subsequent chapters.
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