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arxiv: 1312.2920 · v1 · pith:7A664C2Hnew · submitted 2013-12-10 · 🧮 math.RT · math.OA· math.RA

Some remarks on Hilbert representations of posets

classification 🧮 math.RT math.OAmath.RA
keywords representationsirreducibleorthoscalarposetscertainclassdescribeessential
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For a certain class of finite posets, we prove that all their irreducible orthoscalar representations are finite-dimensional and describe those, for which there exist essential (non-degenerate) irreducible orthoscalar representations.

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