Representations of linear groups over \(\widetilde{A}_2\)-algebras

Anatoliy S. Timoshin

Abstract


In the space of irreducible unitary representations of a linear group over an algebra of type \(\widetilde{A}_2\)  an open dense subset of representations in the general position is singled out. This set is identified, up to simple direct factors, with the space of representations of a full linear group.


Keywords


unitary representations, linear groups, Euclidean algebras, matrix problems, small reduction

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