Results 11 to 20 of about 377,813 (234)
Unitary Representations of Unitary Groups [PDF]
, 2014 In this paper we review and streamline some results of Kirillov, Olshanski and Pickrell on unitary representations of the unitary group $\U(\cH)$ of a real, complex or quaternionic separable Hilbert space and the subgroup $\U_\infty(\cH)$, consisting of those unitary operators $g$ for which $g - \1$ is compact.
A. A. Kirillov +22 more
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Modeling Quantum Behavior in the Framework of Permutation Groups
EPJ Web of Conferences, 2018 Quantum-mechanical concepts can be formulated in constructive finite terms without loss of their empirical content if we replace a general unitary group by a unitary representation of a finite group.
Kornyak Vladimir
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Algebras Generated by Finite Subgroups of Unitary Groups
Journal of Harbin University of Science and Technology, 2021 Group representation theory is one of the most powerful tools to study groups. The unitary group is an important research branch of group theories. We study a class of algebraic structures generated by unitary groups，and we prove that Alg( H) is a von ...
LUO Lai-zhen, LI Xing-hua, TAO Yuan-hong
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Constructions of Orbit Codes Based on Unitary Spaces Over Finite Fields
IEEE Access, 2021 Orbit codes, as special constant dimension codes, have attracted much attention due to their applications for error correction in random network coding. This paper is devoted to constructing large orbit codes by making full use of unitary space. Firstly,
Shangdi Chen, Qin Xu
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Journal of the Mathematical Society of Japan, 2020 Relying on the main results of [Guralnick-Tiep], we classify all unitary $t$-groups for $t \geq 2$ in any dimension $d \geq 2$. We also show that there is essentially a unique unitary $4$-group, which is also a unitary $5$-group, but not a unitary $t$-group for any $t \geq 6$.
BANNAI, Eiichi +3 more
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Quantum Chromodynamics and the Hyperbolic Unitary Group SUh(3)
Axioms, 2023 The paper shows that it is possible to construct quantum chromodynamics as a rigorous theory on the basis of employment of hyperbolic unitary group SUh(3), which is a symmetry group for the three-dimensional complex space of the hyperbolic type.
Nikolay Popov, Ivan Matveev
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Clifford Group and Unitary Designs under Symmetry
PRX Quantum, 2023 We have generalized the well-known statement that the Clifford group is a unitary 3-design into symmetric cases by extending the notion of unitary design.
Yosuke Mitsuhashi, Nobuyuki Yoshioka
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Validation of a novel imaging-guided and anatomy-based classification system for anorectal fistulas: a retrospective clinical evaluation study [PDF]
Annals of ColoproctologyPurpose This study was conducted to evaluate the validity of a new imaging-guided, anatomy-based classification of anorectal fistulas in defining disease severity and predicting surgical outcomes.
Antonio Brillantino +38 more
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The unitary representations of the Poincar\'e group in any spacetime dimension
SciPost Physics Lecture Notes, 2021 An extensive group-theoretical treatment of linear relativistic field equations on Minkowski spacetime of arbitrary dimension $D\geqslant 3$ is presented.
Xavier Bekaert, Nicolas Boulanger
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Exploring Information communication Technology-enabled travel Pattern in a city region of India
International Journal of Urban Sustainable Development, 2023 Information and Communication Technology (ICT) is advocated to contribute to sustainable transportation by prompting a change in travel patterns. Therefore, using an ICT-enabled city region in India as the study context, the objectives of the study were ...
Dillip Kumar Das +2 more
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