Endomorphism algebras arising from mutations

preprint2012arXivOpen access

Abstract

Let AA be a finite dimensional algebra over an algebraically closed field kk, Db(A)\mathcal {D}^b(A) be the bounded derived category of AA-mod and A(m)A^{(m)} be the mm-replicated algebra of AA. In this paper, we investigate the structure properties of endomorphism algebras arising from silting mutation in Db(A)\mathcal {D}^b(A) and tilting mutation in A(m)A^{(m)}-mod.

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