Unitarization of linear representations of non-primitive posets

Abstract

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.

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

References in corpus (2)

• Stable Configurations of Linear Subspaces and Quotient Coherent Sheaves
• On the unitarization of linear representations of primitive partially ordered sets

Cited by in corpus (1)

• Unitarizable representations of quivers