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math.RT2018
On 2-representation infinite algebras arising from dimer models
Yusuke Nakajima
The Jacobian algebra arising from a consistent dimer model is a bimodule -Calabi-Yau algebra, and its center is a -dimensional Gorenstein toric singularity. A perfect matchin…
math.RT2018
Non-commutative crepant resolutions of Hibi rings with small class group
Yusuke Nakajima
In this paper, we study splitting (or toric) non-commutative crepant resolutions (= NCCRs) of some toric rings. In particular, we consider Hibi rings, which are toric rings arising…