Endomorphism Algebras of 2-term Silting Complexes

Abstract

We study possible values of the global dimension of endomorphism algebras of 2-term silting complexes. We show that for any algebra A whose global dimension gl.dim A ≤ 2 and any 2-term silting complex P in the bounded derived category D b (A) of A, the global dimension of $\text {End}_{{D^b(A)}}(\mathbf {P})$ is at most 7. We also show that for each n > 2, there is an algebra A with gl.dim A = n such that D b (A) admits a 2-term silting complex P with $\mathrm {gl. dim~}\text {End}_{{D^b(A)}}(\mathbf {P})$ infinite.