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2025-02-22T16:40:48-05:00 DEBUG: VuFindSearch\Backend\Solr\Connector: => GET http://localhost:8983/solr/biblio/select?fl=%2A&wt=json&json.nl=arrarr&q=id%3A%22irk-123456789-5708%22&qt=morelikethis&rows=5
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About *-Representations of Polynomial Semilinear Relations

About *-Representations of Polynomial Semilinear Relations

In the present paper we study *-representations of semilinear relations with polynomial characteristic functions. For any finite simple non-oriented graph Г we construct a polynomial characteristic function such that Г is its graph. Full description of graphs which satisfy polynomial (degree one and...

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Bibliographic Details
Main Author: Omel'chenko, P.V.
Format: Article
Language:English
Published: Інститут математики НАН України 2009
Online Access:http://dspace.nbuv.gov.ua/handle/123456789/5708
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Summary:In the present paper we study *-representations of semilinear relations with polynomial characteristic functions. For any finite simple non-oriented graph Г we construct a polynomial characteristic function such that Г is its graph. Full description of graphs which satisfy polynomial (degree one and two) semilinear relations is obtained. We introduce the G-orthoscalarity condition and prove that any semilinear relation with quadratic characteristic function and condition of G-orthoscalarity is *-tame. This class of relations contains, in particular, *-representations of Uq(so(3)).

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