非本原偏序集线性表示的么正化
Unitarization of linear representations of non-primitive posets
摘要：
证明了偏序集具有有限个有限维不可分解的非等价Hilbert表示，当且仅当它具有有限个不可分解的线性表示.证明了有限型偏序集的每一个不可分解表示都可以用一定的权进行酉化。
英文摘要：
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.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
