Steven Sam

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The first is representation stability: a generalization of homological stability in the presence of group actions which was introduced by Church and Farb. For symmetric group actions, this is formalized in the notion of FI-modules, introduced by Church, Ellenberg, and Farb. FI-modules turn out to be modules over a twisted commutative algebra (the free tca(More)
In particular, Q has finitely many indecomposables if and only if the underlying graph of Q is a disjoint union of copies of type ADE graphs. In this case, the above theorem is true for any field. Hence we can identify the isomorphism class of a representation over a Dynkin quiver with a function from the positive roots of ∆ to the nonnegative integers. The(More)
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