Green’s Formula with C-action and Caldero-keller’s Formula for Cluster Algebras
نویسنده
چکیده
It is known that Green’s formula over finite fields gives rise to the comultiplications of Ringel-Hall algebras and quantum groups (see [Gre], see also [Lu]). In this paper, we prove a projective version of Green’s formula in a geometric way. Then following the method of Hubery in [Hu2], we apply this formula to proving Caldero-Keller’s multiplication formula for acyclic cluster algebras of arbitrary type.
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تاریخ انتشار 2008