Quantum generalized cluster algebras and quantum dilogarithms of higher degrees |
| |
Authors: | T. Nakanishi |
| |
Affiliation: | 1. Graduate School of Mathematics, Nagoya University, Nagoya, Japan
|
| |
Abstract: | We extend the notion of quantizing the coefficients of ordinary cluster algebras to the generalized cluster algebras of Chekhov and Shapiro. In parallel to the ordinary case, it is tightly integrated with certain generalizations of the ordinary quantum dilogarithm, which we call the quantum dilogarithms of higher degrees. As an application, we derive the identities of these generalized quantum dilogarithms associated with any period of quantum Y -seeds. |
| |
Keywords: | |
本文献已被 SpringerLink 等数据库收录! |
|