Results 31 to 40 of about 3,438 (167)

A note on Fibonacci matrices of even degree

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2001
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
doaj   +1 more source

Irreducible representations of groupoid 𝐶*-algebras [PDF]

open access: yesProceedings of the American Mathematical Society, 2008
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.
openaire   +3 more sources

Degenerate Series Representations of the q-Deformed Algebra $so'_q(r,s)$

open access: yesSymmetry, Integrability and Geometry: Methods and Applications, 2007
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
doaj  

Quantized Flag Manifolds and Irreducible *-Representations [PDF]

open access: yesCommunications in Mathematical Physics, 1999
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
openaire   +3 more sources

Efficient operators for studying higher partial waves

open access: yesEPJ Web of Conferences, 2018
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
doaj   +1 more source

Irreducible representations of normal spaces [PDF]

open access: yesProceedings of the American Mathematical Society, 1989
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
openaire   +1 more source

Varieties of four-dimensional gauge theories

open access: yesJournal of High Energy Physics
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
doaj   +1 more source

Generation of Basis Vectors for Magnetic Structures and Displacement Modes

open access: yesAdvances in Condensed Matter Physics, 2016
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
doaj   +1 more source

Symmetry algebra for the generic superintegrable system on the sphere

open access: yesJournal of High Energy Physics, 2018
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
doaj   +1 more source

Three generations and a trio of trialities

open access: yesPhysics Letters B
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
doaj   +1 more source

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