A Classically Singular Representation of $s{u}_q(n)$

Abstract

A \rep of \sun, which diverges in the limit of \cl, is investigated. This is an infinite dimensional and a non-unitary \rep, defined for the real value of $q,0<q<1.$ Each \irrep is specified by $n$ continuous variables and one discrete variable. This \rep gives a new solution of the Yang-Baxter equation, when the R-matrix is evaluated. It is shown that a continuous variables can be regarded as a spectral parameter.

8 pages, phyzzx, RCNP - 052

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