On representations of U{sub q}osp(1{vert_bar}2) when q is a root of unity
Journal Article
·
· Journal of Mathematical Physics
- Theory Group, Department of Physics, College of Natural Sciences, Gyeongsang National University, Jinju 660-701 (Korea)
- Yukawa Institute for Theoretical Physics, Kyoto University, Kyoto 606-01 (Japan)
The infinite dimensional highest weight representations of U{sub q}osp(1{vert_bar}2) for the deformation parameter q being a root of unity are investigated. As in the cases of q-deformed nongraded Lie algebras, we find that every irreducible representation is isomorphic to the tensor product of a highest weight representation of sl{sub 2}(R) and a finite dimensional one of U{sub q}osp(1{vert_bar}2). The structure is investigated in detail. {copyright} {ital 1997 American Institute of Physics.}
- OSTI ID:
- 544342
- Journal Information:
- Journal of Mathematical Physics, Vol. 38, Issue 6; Other Information: PBD: Jun 1997
- Country of Publication:
- United States
- Language:
- English
Similar Records
Representation properties, Racah sum rule, and Biedenharn{endash}Elliott identity for U{sub q}{bold (}osp{bold (}1{vert_bar}2{bold ))}
Relations between the Casimir operators of sl(1{vert_bar}2) and osp(2{vert_bar}2) superalgebras
Representation theory approach to the polynomial solutions of [ital q]-difference equations: U[sub [ital q]](sl(3)) and beyond
Journal Article
·
Thu Jan 01 00:00:00 EST 1998
· Journal of Mathematical Physics
·
OSTI ID:544342
Relations between the Casimir operators of sl(1{vert_bar}2) and osp(2{vert_bar}2) superalgebras
Journal Article
·
Sun Dec 01 00:00:00 EST 1996
· Journal of Mathematical Physics
·
OSTI ID:544342
Representation theory approach to the polynomial solutions of [ital q]-difference equations: U[sub [ital q]](sl(3)) and beyond
Journal Article
·
Tue Nov 01 00:00:00 EST 1994
· Journal of Mathematical Physics (New York); (United States)
·
OSTI ID:544342