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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| Дата: | 2009 |
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| Автор: | |
| Формат: | Стаття |
| Мова: | Англійська |
| Опубліковано: |
Інститут математики НАН України
2009
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| Онлайн доступ: | https://nasplib.isofts.kiev.ua/handle/123456789/5708 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | 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. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862529039870197760 |
|---|---|
| author | Omel'chenko, P.V. |
| author_facet | Omel'chenko, P.V. |
| 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. |
| collection | DSpace DC |
| 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)).
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| first_indexed | 2025-11-24T03:31:56Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-5708 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1029-3531 |
| language | English |
| last_indexed | 2025-11-24T03:31:56Z |
| publishDate | 2009 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Omel'chenko, P.V. 2010-02-02T13:34:55Z 2010-02-02T13:34:55Z 2009 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 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)). en Інститут математики НАН України About *-Representations of Polynomial Semilinear Relations Article published earlier |
| spellingShingle | About *-Representations of Polynomial Semilinear Relations Omel'chenko, P.V. |
| title | 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_short | About *-Representations of Polynomial Semilinear Relations |
| title_sort | about *-representations of polynomial semilinear relations |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/5708 |
| work_keys_str_mv | AT omelchenkopv aboutrepresentationsofpolynomialsemilinearrelations |