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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| Date: | 2009 |
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| Language: | English |
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Інститут математики НАН України
2009
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| Cite this: | About *-representations of polynomial semilinear relations / P.V. Omel'chenko // Methods of Functional Analysis and Topology. — 2009. — Т. 15, № 2. — С. 168-176. — Бібліогр.: 14 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
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oai:nasplib.isofts.kiev.ua:123456789-57082025-02-23T17:05:34Z About *-Representations of Polynomial Semilinear Relations Omel'chenko, P.V. 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)). 2009 Article About *-representations of polynomial semilinear relations / P.V. Omel'chenko // Methods of Functional Analysis and Topology. — 2009. — Т. 15, № 2. — С. 168-176. — Бібліогр.: 14 назв. — англ. 1029-3531 https://nasplib.isofts.kiev.ua/handle/123456789/5708 en application/pdf Інститут математики НАН України |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine |
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DSpace DC |
| language |
English |
| description |
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)). |
| format |
Article |
| author |
Omel'chenko, P.V. |
| spellingShingle |
Omel'chenko, P.V. About *-Representations of Polynomial Semilinear Relations |
| author_facet |
Omel'chenko, P.V. |
| author_sort |
Omel'chenko, P.V. |
| title |
About *-Representations of Polynomial Semilinear Relations |
| title_short |
About *-Representations of Polynomial Semilinear Relations |
| title_full |
About *-Representations of Polynomial Semilinear Relations |
| title_fullStr |
About *-Representations of Polynomial Semilinear Relations |
| title_full_unstemmed |
About *-Representations of Polynomial Semilinear Relations |
| title_sort |
about *-representations of polynomial semilinear relations |
| publisher |
Інститут математики НАН України |
| publishDate |
2009 |
| citation_txt |
About *-representations of polynomial semilinear relations / P.V. Omel'chenko // Methods of Functional Analysis and Topology. — 2009. — Т. 15, № 2. — С. 168-176. — Бібліогр.: 14 назв. — англ. |
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AT omelchenkopv aboutrepresentationsofpolynomialsemilinearrelations |
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2025-07-22T04:11:27Z |
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2025-07-22T04:11:27Z |
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1838318866526109696 |