296 citations · 355 across the 8 of their papers we have counts for
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math.RA2021★ 2 cited
Multiplicative preprojective algebras of Dynkin quivers
Daniel Kaplan
For a commutative ring and an ADE Dynkin quiver , we prove that the multiplicative preprojective algebra of Crawley-Boevey and Shaw, with parameter , is isomorphic to t…
math.RA2019★ 9 cited
Multiplicative preprojective algebras are 2-Calabi-Yau
Daniel Kaplan, Travis Schedler
We prove that multiplicative preprojective algebras, defined by Crawley-Boevey and Shaw, are 2-Calabi-Yau algebras, in the case of quivers containing unoriented cycles. If the quiv…
math.RA2018★ 1 cited
Frobenius Degenerations of Preprojective Algebras
Daniel Kaplan
In this paper, we study a preprojective algebra for quivers decorated with -algebras and bimodules, which generalizes work of Gabriel for ordinary quivers, work of Dlab and Ring…