Results 41 to 50 of about 789,472 (346)
BasisGen: automatic generation of operator bases
BasisGen is a Python package for the automatic generation of bases of operators in effective field theories. It accepts any semisimple symmetry group and fields in any of its finite dimensional irreducible representations.
Juan Carlos Criado
doaj +1 more source
Irreducible representations of crossed products
In 1975, I. Kaplansky conjectured that if \(H\) is a finite-dimensional semisimple Hopf algebra over an algebraically closed field, then the dimension of each irreducible \(H\)-module divides the dimension of \(H\). The main result of this paper is a verification of this conjecture for fields of characteristic 0 and Hopf algebras of prime power ...
Sarah Witherspoon, Susan Montgomery
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On irreducible representations of the exotic conformal Galilei algebra [PDF]
We investigate the representations of the exotic conformal Galilei algebra. This is done by explicitly constructing all singular vectors within the Verma modules, and then deducing irreducibility of the associated highest weight quotient modules.
N. Aizawa, P. Isaac
semanticscholar +1 more source
Representations of the q-deformed algebra $U_q({\rm iso}_2)$
An algebra homomorphism $\psi$ from the q-deformed algebra $U_q({\rm iso}_2)$ with generating elements $I$, $T_1$, $T_2$ and defining relations $[I,T_2]_q=T_1$, $[T_1,I]_q=T_2$, $[T_2,T_1]_q=0$ (where $[A,B]_q=q^{1/2}AB-q^{-1/2}BA$) to the extension ...
A Klimyk+12 more
core +1 more source
We revisit the classifications of classical and quantum galilean particles: that is, we fully classify homogeneous symplectic manifolds and unitary irreducible projective representations of the Galilei group.
José Miguel Figueroa-O'Farrill, Simon Pekar, Alfredo Pérez, Stefan Prohazka
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ON GENERALIZATION OF SPECIAL FUNCTIONS RELATED TO WEYL GROUPS
Weyl group orbit functions are defined in the context of Weyl groups of simple Lie algebras. They are multivariable complex functions possessing remarkable properties such as (anti)invariance with respect to the corresponding Weyl group, continuous and ...
Lenka Háková, Agnieszka Tereszkiewicz
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The minimal irreducible representations of $U_q[gl(m|n)]$, i.e. those irreducible representations that are also irreducible under $U_q[osp(m|n)]$ are investigated and shown to be affinizable to give irreducible representations of the twisted quantum ...
B Zamolodchikov+19 more
core +1 more source
On irreducible projective representations of finite groups [PDF]
The paper is a survey type article inwhich we present some results on irreducible projective representations offinite groups. Section 2 includes Curtis and Reiner's theorem inwhich is proved that a finite group has at most a finite number ofinequivalent ...
Tania-Luminiţa Costache
doaj
On the irreducibility of an induced representation. II [PDF]
A unitary representation induced from a normal subgroup of a separable locally compact group is irreducible if and only if the inducing representation is irreducible and the restriction of the induced representation to the normal subgroup is multiplicity-free.
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A Hecke Algebra of (Z/rZ)Sn and Construction of Its Irreducible Representations
S. Ariki, Kazuhiko Koike
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