Let Λ be a finite dimensional k-algebra over an algebraically closed field k and let ΛT be a splitting tilting module of projective dimension at most 1. Let Γ=EndΛT. If the representation dimension of Λ is at most 3 then the main result asserts that the representation dimension of Γ does not exceed that of Λ. © 2010 Elsevier B.V.
Happel, D., & Unger, L. (2011). Representation dimension and tilting. Journal of Pure and Applied Algebra, 215(10), 2315–2321. https://doi.org/10.1016/j.jpaa.2010.12.012