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Quivers with relations for symmetrizable Cartan matrices V. Caldero-Chapoton formula. (arXiv:1704.06438v1 [math.RT])
来源于:arXiv
We generalize the Caldero-Chapoton formula for cluster algebras of finite
type to the skew-symmetrizable case. This is done by replacing representation
categories of Dynkin quivers by categories of locally free modules over certain
Iwanaga-Gorenstein algebras introduced in Part I. The proof relies on the
realization of the positive part of the enveloping algebra of a simple Lie
algebra of the same finite type as a convolution algebra of constructible
functions on representation varieties of $H$, given in Part III. Along the way,
we obtain a new result on the PBW basis of this convolution algebra. 查看全文>>