Systems of subspaces of a unitary space

Kostyantyn Yusenko; Tatiana Klimchuk; Vitalij M. Bondarenko; Vladimir V. Sergeichuk; Vyacheslav Futorny

arxiv: 1208.5414 · v1 · pith:JJXIKYC7new · submitted 2012-08-27 · 🧮 math.RT

Systems of subspaces of a unitary space

Vitalij M. Bondarenko , Vyacheslav Futorny , Tatiana Klimchuk , Vladimir V. Sergeichuk , Kostyantyn Yusenko This is my paper

classification 🧮 math.RT

keywords systemsspacesubspacesunitaryclassificationclassifyconsiderexplicit

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For a given poset, we consider its representations by systems of subspaces of a unitary space ordered by inclusion. We classify such systems for all posets for which an explicit classification is possible.

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Systems of subspaces of a unitary space

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