Use of quantum algebras in quantum gravity (Q2711727)
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scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Use of quantum algebras in quantum gravity |
scientific article |
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25 April 2001
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deformed algebra
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anti-de Sitter quantum gravity
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genus
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0.9230506
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0.8933703
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0.8897887
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0.88956594
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0.8887316
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0.88785607
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0.8873018
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0.8858074
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Use of quantum algebras in quantum gravity (English)
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After a brief survey of use of quantum algebras in diverse contexts of quantum gravity, the author considers specific deformed algebras which arise within the approach of Nelson and Regge to (2+1) anti-de Sitter quantum gravity for a space surface of genus \(g\). It is shown that these algebras are isomorphic to non-standard \(q\)-deformed analogues \(U_q'(so_n)\) of Lie algebras of the orthogonal group \(SO(n)\). Here \(n=2g+2\).NEWLINENEWLINEFor the entire collection see [Zbl 0937.00046].
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