On a family of Caldero–Chapoton algebras that have the Laurent phenomenon
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DOI: 10.1016/j.jalgebra.2018.11.012
Abstract: We realize a family of generalized cluster algebras as Caldero-Chapoton algebras of quivers with relations. Each member of this family arises from an unpunctured polygon with one orbifold point of order 3, and is realized… read more here.
Keywords: chapoton algebras; family caldero; generalized cluster; chapoton ... See more keywords
Rogers dilogarithms of higher degree and generalized cluster algebras
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DOI: 10.2969/jmsj/75767576
Abstract: In connection with generalized cluster algebras we introduce a certain generalization of the celebrated Rogers dilogarithm, which we call the Rogers dilogarithms of higher degree. We show that there is an identity of these generalized… read more here.
Keywords: rogers dilogarithms; higher degree; dilogarithms higher; generalized cluster ... See more keywords