# On The Unitarization Of Linear Representations Of Primitive Partially Ordered Sets

@article{Grushevoy2009OnTU, title={On The Unitarization Of Linear Representations Of Primitive Partially Ordered Sets}, author={Roman Grushevoy and Kostyantyn Yusenko}, journal={arXiv: Representation Theory}, year={2009}, pages={279-294} }

We describe all weights which are appropriated for the unitarization of indecomposable linear representations of primitive partially ordered sets of finite type.

## 4 Citations

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

- Mathematics
- 2010

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…

### Unitarization of Schur representations of a partially ordered set associated with Ẽ7

- Mathematics
- 2010

We prove that every Schur representation of a partially ordered set associated with graph Ẽ7 can be unitarized with some character.

### Unitarization of representations of a partially ordered set associated with a graph $ {\tilde E_6} $

- Mathematics
- 2009

It is shown that any Schur representation of a poset associated with a graph $ {\tilde E_6} $ can be unitarized with a certain character. The description of characters for which it is possible to…

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