Quantum dilogarithm identities at root of unity (Q2796759)
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scientific article; zbMATH DE number 6560843
| Language | Label | Description | Also known as |
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| English | Quantum dilogarithm identities at root of unity |
scientific article; zbMATH DE number 6560843 |
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29 March 2016
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quantum dilogarithm
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quantum cluster algebra
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Quantum dilogarithm identities at root of unity (English)
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From the introduction: A quantum cluster algebra has a one deformation parameter \({q }\). In this paper we analyze the case when \({q}\) is a root of unity. In this limit, the compact quantum dilogarithm function \(\psi _{q} (x)\) degenerates into a cyclic dilogarithm, and we obtain identities for the cyclic dilogarithm, again associated with a mutation sequence of a quiver.
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