English

Some remarks on Hilbert representations of posets

Representation Theory 2013-12-11 v1 Operator Algebras Rings and Algebras

Abstract

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.

Keywords

Cite

@article{arxiv.1312.2920,
  title  = {Some remarks on Hilbert representations of posets},
  author = {Vasyl Ostrovskyi and Slavik Rabanovich},
  journal= {arXiv preprint arXiv:1312.2920},
  year   = {2013}
}

Comments

15 pages

R2 v1 2026-06-22T02:24:53.036Z