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Higher APR tilting preserves $n$-representation infiniteness (1503.08475v2)

Published 29 Mar 2015 in math.RT

Abstract: We show that $m$-APR tilting preserves $n$-representation infiniteness for $1\leq m\leq n$. Moreover, we show that these tilting modules provide different tilting modules for the corresponding higher preprojective algebras, which is $(n+1)$-CY algebras. We also study the interplay of the two kinds of tilting modules.

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