Abstract

This paper gives a classification of the prime ideals, primitive ideals, and irreducible representations of where K is an algebraically closed field, n ≥ 3, and β ij ∈ K. The classification of the prime ideals of S proves that, under the Zariski topology, the topological dimension of spec S is no greater than the Gelfand-Kirillov dimension of S. Included is an appendix by A. Berliner, in which it is shown that the finite dimensional irreducible representations are all one-dimensional.

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