Results 31 to 40 of about 140,027 (183)
BMS symmetry, soft particles and memory
In this work, we revisit unitary irreducible representations of the Bondi-Metzner-Sachs (BMS) group discovered by McCarthy. Representations are labelled by an infinite number of super-momenta in addition to four-momentum.
Chatterjee, Atreya, Lowe, David A.
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Representations of the cyclically symmetric q-deformed algebra $so_q(3)$
An algebra homomorphism $\psi$ from the nonstandard q-deformed (cyclically symmetric) algebra $U_q(so_3)$ to the extension ${\hat U}_q(sl_2)$ of the Hopf algebra $U_q(sl_2)$ is constructed.
A. U. Klimyk +4 more
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Irreducible representations of simple Lie algebras by differential operators
We describe a systematic method to construct arbitrary highest-weight modules, including arbitrary finite-dimensional representations, for any finite dimensional simple Lie algebra $${\mathfrak {g}}$$ g .
A. Morozov +3 more
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Irreducible representations of $\mathbb{Z}_2^2$-graded supersymmetry algebra and their applications
We give a brief review on recent developments of $\mathbb{Z}_2^n$-graded symmetry in physics in which hidden $\mathbb{Z}_2^n$-graded symmetries and $\mathbb{Z}_2^n$-graded extensions of known systems are discussed.
Naruhiko Aizawa
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Degenerate Series Representations of the $q$-Deformed Algebra ${\rm so}'_q(r,s)$
The q-deformed algebra ${\rm so}'_q(r,s)$ is a real form of the q-deformed algebra $U'_q({\rm so}(n,\mathbb{C}))$, $n=r+s$, which differs from the quantum algebra $U_q({\rm so}(n,\mathbb{C}))$ of Drinfeld and Jimbo.
Groza, Valentyna A.
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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.
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Unitary irreducible representations ofSU(2,2) [PDF]
Using a Lie algebra method based on works byHarish-Chandra, several series of unitary, irreducible representations of the groupSU(2,2) are obtained.
Kihlberg, A. +2 more
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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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Geometric Proof of a Conjecture of Fulton [PDF]
We give a geometric proof of a conjecture of W. Fulton on the multiplicities of irreducible representations in a tensor product of irreducible representations for GL(r).Comment: 10 pages, no ...
Belkale, Prakash
core
Permutation representations and rational irreducibility [PDF]
The natural character π of a finite transitive permutation group G has the form 1G + θ where θ is a character which affords a rational representation of G. We call G a QI-group if this representation is irreducible over ℚ. Every 2-transitive group is a QI-group, but the latter class of groups is larger.
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