Abstract
Algebraic properties of a nninirnal representation of SOe(2,2n-2), n[is greater then or equal to] 4, are studied. This representation is a ladder representation, it has the minimal possible Gelfand-Kirillov dimension for any infinite dimensional representation, its annihilator in the universal enveloping algebra is the Joseph ideal, it remains irreducible when restricted to SOe(l,2n - 2) and it is unitarily equivalent to an induced representation upon restriction.
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