About *-Representations of Polynomial Semilinear Relations
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
About *-Representations of Polynomial Semilinear Relations
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| Creator |
Omel'chenko, P.V.
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| 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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| Date |
2010-02-02T13:34:55Z
2010-02-02T13:34:55Z 2009 |
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| Type |
Article
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| Identifier |
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 http://dspace.nbuv.gov.ua/handle/123456789/5708 |
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| Language |
en
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| Publisher |
Інститут математики НАН України
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