Unitarization of linear representations of non-primitive posets

Details Unitarization of linear representations of non-primitive posets Unitarization of linear representations of non-primitive posets

2009-11-22

arxiv.org/abs/0911.4237v2

Mathematics

Representation Theory

32 pages, Several Appendix are added. Proofs completed. Several typos were fixed

Scientific paper

We prove that partially ordered set has finite number of finite-dimensional
indecomposable nonequivalent Hilbert representations with orthoscalarity
condition if and anly if it has finite number of indecomposable linear
representations. We show that each indecomposable representation of the poset
of finite type could be unitarized with some weight.

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