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Representation theory of geometric extension algebras

Published 27 Jan 2017 in math.RT | (1701.07949v3)

Abstract: We study the question of when geometric extension algebras are polynomial quasihereditary. Our main theorem is that under certain assumptions, a geometric extension algebra is polynomial quasihereditary if and only if it arises from an even resolution. We give an application to the construction of reflection functors for quiver Hecke algebras.

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