Quiver Mutations
نویسنده
چکیده
In [2][3], the mathematicians Fomin and Zelevinsky described the mathematical object known as a quiver, and connected it with the theory of cluster algebras. In particular, each quiver can be represented by a seed of a cluster algebra, which couples a set of n variables with the adjacency matrix of the quiver. By performing a transformation on the quiver, we change accordingly the values of these variables in the cluster algebra. In this paper, we will show the patterns generated by several such transformations, most notably those involving the particular quiver shown here. We will be demonstrating relations between our quiver mutations and the Fibonacci numbers. We begin with a few simple definitions.
منابع مشابه
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تاریخ انتشار 2012