Skip to main content
U.S. Department of Energy
Office of Scientific and Technical Information

Eigenvalues of Casimir invariants for U{sub q}[osp(m vertical bar n)]

Journal Article · · Journal of Mathematical Physics
DOI:https://doi.org/10.1063/1.2137712· OSTI ID:20768696
; ;  [1]
  1. Centre for Mathematical Physics, School of Physical Sciences, University of Queensland, Brisbane 4072 (Australia)
For each quantum superalgebra U{sub q}[osp(m vertical bar n)] with m>2, an infinite family of Casimir invariants is constructed. This is achieved by using an explicit form for the Lax operator. The eigenvalue of each Casimir invariant on an arbitrary irreducible highest weight module is also calculated.
OSTI ID:
20768696
Journal Information:
Journal of Mathematical Physics, Journal Name: Journal of Mathematical Physics Journal Issue: 12 Vol. 46; ISSN JMAPAQ; ISSN 0022-2488
Country of Publication:
United States
Language:
English

Similar Records

On representations of U{sub q}osp(1{vert_bar}2) when q is a root of unity
Journal Article · Sun Jun 01 00:00:00 EDT 1997 · Journal of Mathematical Physics · OSTI ID:544342

Positive Energy Unitary Irreducible Representations of the Superalgebras osp(1 vertical bar 2n, R)
Journal Article · Sat Oct 01 00:00:00 EDT 2005 · Physics of Atomic Nuclei · OSTI ID:20692885

Representations of N = 2 extended supergravity and unitarity conditions in Osp (N,4)
Journal Article · Tue Mar 31 23:00:00 EST 1987 · J. Math. Phys. (N.Y.); (United States) · OSTI ID:6626733