Unitarizable Representations of the Deformed Para-Bose Superalgebra Uq[osp(1/2)] at Roots of 1

Abstract

The unitarizable irreps of the deformed para-Bose superalgebra $p{B}_q$, which is isomorphic to $U_q[osp(1/2)]$, are classified at $q$ being root of 1. New finite-dimensional irreps of $U_q[osp(1/2)]$ are found. Explicit expressions for the matrix elements are written down.

19 pages, PlainTex

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Cited by in corpus (3)

• Centre and Representations of U_q(sl(2|1)) at Roots of Unity
• Quantum superalgebras at roots of unity and non-abelian symmetries of integrable models
• New Solutions of the Yang-Baxter Equation Based on Root of 1 Representations of the Para-Bose Superalgebra U${}_q$[osp(1/2)]