Results 21 to 30 of about 142,071 (310)

Fuzzy de Sitter space

European Physical Journal C: Particles and Fields, 2018
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, Duško Latas, Luka Nenadović   +2 more
doaj   +1 more source

Irreducible representations of groupoid 𝐶*-algebras [PDF]

Proceedings 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 from an irreducible representation of a stability group is irreducible.
Ionescu, Marius, Williams, Dana P.
openaire   +3 more sources

Refining the classification of the irreps of the 1D N-Extended Supersymmetry [PDF]

, 2007
The linear finite irreducible representations of the algebra of the 1D $N$-Extended Supersymmetric Quantum Mechanics are discussed in terms of their "connectivity" (a symbol encoding information on the graphs associated to the irreps). The classification
FRANCESCO TOPPAN, Kuznetsova Z., ZHANNA KUZNETSOVA   +2 more
core   +2 more sources

Representations of the q-deformed algebra $U_q({\rm iso}_2)$

, 1999
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, Bergman G M, Dixmier J, Gavrilik A M, Klimyk A, Klimyk A U, M Havlícek, Nelson J, Odesski M, S Posta, Samoilenko Yu S, Vaksman L L, Vilenkin Ja N   +12 more
core   +1 more source

Galilei particles revisited

SciPost Physics Lecture Notes
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
doaj   +1 more source

BasisGen: automatic generation of operator bases

European Physical Journal C: Particles and Fields, 2019
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

W_{1+\infty} and W(gl_N) with central charge N

, 1994
We study representations of the central extension of the Lie algebra of differential operators on the circle, the W-infinity algebra. We obtain complete and specialized character formulas for a large class of representations, which we call primitive ...
A. Capelli, A. Radul, A. Zamolodchikov, Andrey Radul, B. Feigin, B.L. Feigin, C.N. Pope, Edward Frenkel, F.A. Bais, I. Bakas, I. Macdonald, I.B. Frenkel, I.B. Frenkel, I.B. Frenkel, I.B. Frenkel, M. Fukuma, M. Niedermaier, P. Bouwknegt, P. Bouwknegt, P. Goddard, R. Borcherds, S. Iso, V. Fateev, V.G. Kac, V.G. Kac, V.G. Kac, V.G. Kac, V.G. Kac, V.G. Kac, Victor Kac, W. Wang, Weiqiang Wang, Y. Matsuo   +32 more
core   +1 more source

Quantum Analogs of Tensor Product Representations of su(1,1)

Symmetry, Integrability and Geometry: Methods and Applications, 2011
We study representations of U_q(su(1,1)) that can be considered as quantum analogs of tensor products of irreducible *-representations of the Lie algebra su(1,1).
Wolter Groenevelt
doaj   +1 more source

ON GENERALIZATION OF SPECIAL FUNCTIONS RELATED TO WEYL GROUPS

Acta Polytechnica, 2016
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
doaj   +1 more source

Irreducible representations of E theory [PDF]

International Journal of Modern Physics A, 2019
We construct the [Formula: see text] theory analogue of the particles that transform under the Poincaré group, that is, the irreducible representations of the semi-direct product of the Cartan involution subalgebra of [Formula: see text] with its vector representation. We show that one such irreducible representation has only the degrees of freedom of
openaire   +2 more sources