ISO_q(3) and ISO_q(2,1)
We prove the embedding of $ ISO_q(3) \hook ISU^{ex}_{\sqrt{q}}(2) $ and $ ISO_q(2,1) \hook ISL^{ex}_q(2,R)$ as $^*$-algebras and give a Hilbert space representation of $ISU^{ex}_{\sqrt{q}}(2)$
q-alg↗
arXiv subjects
S. Sachse
Publications and source records attributed to S. Sachse.
Laughlin states on the sphere as representations of Uq(sl(2))
We discuss quantum algebraic structures of the systems of electrons or quasiparticles on a sphere of which center a magnetic monople is located on. We verify that the deformation parameter is related to the filling ratio of the particles in each case.
hep-th↗