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: | English |
| Опубліковано: |
Інститут математики НАН України
2009
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| Онлайн доступ: | http://dspace.nbuv.gov.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| Резюме: | 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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