STUDY FINDINGS FROM D. KARAKHANYAN ET AL BROADEN UNDERSTANDING OF PHYSICS
News of Science
October 4 2009
"The degeneracy of the lowest weight representations of the quantum
superalgebra osp(q)(1 vertical bar 2) and their tensor products
at exceptional values of q is studied," researchers in Yerevan,
Armenia report.
"The main features of the structures of the finite-dimensional lowest
weight representations and their fusion rules are illustrated using
realization of group generators as finite-difference operators acting
in the space of the polynomials. The complete fusion rules for the
decompositions of the tensor products at roots of unity are presented,"
wrote D. Karakhanyan and colleagues.
The researchers concluded: "The appearance of indecomposable
representations in the fusions is described using Clebsh-Gordan
coefficients derived for general values of q and at roots of unity."
Karakhanyan and colleagues published their study in the Journal of
Physics a – Mathematical and Theoretical (Fusion rules of the lowest
weight representations of osp(Q)(1 vertical bar 2) at roots of unity:
polynomial realization. Journal of Physics a – Mathematical and
Theoretical, 2009;42(37):75205).
For additional information, contact D. Karakhanyan, Yerevan Physics
Institute, Br Alikhanian St. 2, Yerevan 375036, Armenia.
Publisher contact information for the Journal of Physics a –
Mathematical and Theoretical is: IOP Publishing Ltd., Dirac House,
Temple Back, Bristol BS1 6BE, England.