Results 31 to 40 of about 3,438 (167)
A note on Fibonacci matrices of even degree
This paper presents a construction of m-by-m irreducible Fibonacci matrices for any even m. The proposed technique relies on matrix representations of algebraic number fields which are an extension of the golden section field.
Michele Elia
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Irreducible representations of groupoid 𝐶*-algebras [PDF]
If G G is a second countable locally compact Hausdorff groupoid with Haar system, we show that every representation induced
Ionescu, Marius, Williams, Dana P.
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Degenerate Series Representations of the q-Deformed Algebra $so'_q(r,s)$
The $q$-deformed algebra ${m so}'_q(r,s)$ is a realform of the $q$-deformed algebra $U'_q({m so}(n,mathbb{C}))$,$n=r+s$, which dif/fers from the quantum algebra $U_q({mso}(n,mathbb{C}))$ of Drinfeld and Jimbo.
Valentyna A. Groza
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Quantized Flag Manifolds and Irreducible *-Representations [PDF]
We study irreducible *-representations of a certain quantization of the algebra of polynomial functions on a generalized flag manifold regarded as a real manifold. All irreducible *-representations are classified for a subclass of flag manifolds containing in particular the irreducible compact Hermitian symmetric spaces.
Stokman, Jasper V. +1 more
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Efficient operators for studying higher partial waves
An extended multi-hadron operator is developed to extract the spectra of irreducible representations in the finite volume. The irreducible representations of the cubic group are projected using a coordinate-space operator.
Wu Jia-jun +5 more
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Irreducible representations of normal spaces [PDF]
We define the notion of irreducible polyhedral representation of a normal space making use of approximate inverse systems. This generalizes the concept of irreducible polyhedral expansions introduced in 1937 by Freudenthal for metric compacta and generalized to uniform spaces by Isbell in 1961. We show that every normal space
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Varieties of four-dimensional gauge theories
We use algebraic geometry to study the anomaly-free representations of an arbitrary gauge Lie algebra for 4-dimensional spacetime fermions. For irreducible representations, the problem reduces to studying the Lie algebras 𝔰𝔲 n for n ≥ 3.
Ben Gripaios, Khoi Le Nguyen Nguyen
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Generation of Basis Vectors for Magnetic Structures and Displacement Modes
Increasing attention is being focused on the use of symmetry-adapted functions to describe magnetic structures, structural distortions, and incommensurate crystallography.
Z. L. Davies, A. S. Wills
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Symmetry algebra for the generic superintegrable system on the sphere
The goal of the present paper is to provide a detailed study of irreducible representations of the algebra generated by the symmetries of the generic quantum superintegrable system on the d-sphere.
Plamen Iliev
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Three generations and a trio of trialities
We identify the Standard Model's su(3)⊕su(2)⊕u(1) internal symmetries within the triality symmetries tri(C)⊕tri(H)⊕tri(O). From here, the corresponding Standard Model group action is applied to the triality triple (Ψ+,Ψ−,V) for Ψ+,Ψ−,V∈C⊗H⊗O. Together, Ψ+
N. Furey, M.J. Hughes
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