Results 31 to 40 of about 291,666 (209)
Small eigenvalues of the staggered Dirac operator in the adjoint representation and Random Matrix Theory [PDF]
The low-lying spectrum of the Dirac operator is predicted to be universal, within three classes, depending on symmetry properties specified according to random matrix theory. The three universal classes are the orthogonal, unitary and symplectic ensemble.
A.L. Kaehler +26 more
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Unitary Groups: Representations and Decompositions [PDF]
An elementary account is given of the representation theory for unitary groups. We review the basic definitions and the construction of irreducible representations using tensor methods, and indicate the connection to the infinitesimal approach. Special attention has been given to the detailed procedure to obtain Clebsch-Gordan series and to the problem
Itzykson, C., Nauenberg, M.
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Unitary braid representations with finite image [PDF]
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Larsen, Michael, Rowell, Eric
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Indefinite causal order strategy does not improve the estimation of group action [PDF]
We consider estimation of unknown unitary operation when the set of possible unitary operations is given by a projective unitary representation of a compact group.
Masahito Hayashi
doaj +1 more source
Quantum symmetries and the Weyl-Wigner product of group representations
In the usual formulation of quantum mechanics, groups of automorphisms of quantum states have ray representations by unitary and antiunitary operators on complex Hilbert space, in accordance with Wigner's Theorem.
Bracken, A. J. +2 more
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Unitary representations of non-compact supergroups [PDF]
Lie superalgebras have been studied as a model of the symmetries of elementary particles [e.g., \textit{J. Wess} and \textit{B. Zumino}, Supergauge transformations in four dimensions, Nucl. Phys. B 70, 39--50 (1974)], and as interesting mathematical objects in their own right [e.g. \textit{V. G. Kac}, Adv. Math. 26, 8--96 (1977; Zbl 0366.17012)].
Bars, I., Günaydin, M.
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Twisted Blanchfield pairings and symmetric chain complexes [PDF]
We define the twisted Blanchfield pairing of a symmetric triad of chain complexes over a group ring Z[G], together with a unitary representation of G over an Ore domain with involution. We prove that the pairing is sesquilinear, and we prove that it is
Powell, Mark
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We discuss properties of fuzzy de Sitter space defined by means of algebra of the de Sitter group $$\text {SO}(1,4)$$ SO(1,4) in unitary irreducible representations.
Maja Burić +2 more
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The behavior of livestock on farms is the primary representation of animal welfare, health conditions, and social interactions to determine whether they are healthy or not.
Yongfeng Li +7 more
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Representations of Anisotropic Unitary Groups [PDF]
Let S U ( f ) SU(f) be the special unitary group of an anisotropic hermitian form f f over a field k k . Assume f f represents only one norm class in k k . The representations α : S U
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