Finiteness of representation dimension

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Auslander–Reiten theory revisited (2008, methodology): “In this subsection we shall recall the construction of 2-CY Frobenius categories with 2-cluster tilting objects given in joint work with Buan, Reiten and Scott [89, 37].”
Finitistic dimension and Igusa-Todorov algebras (2009, background): “Note that, though the representation dimension of an artin algebra is always finite [13], there is no upper bound for the representation dimension of an artin algebra [14].”
On the representation dimension of tilted and laura algebras (2006, background): “A < ∞, see [19], and Rouquier has constructed examples of algebras with representation dimension larger than or equal to 4, see [23].”
Derived equivalences and finite dimensional algebras (2006, unknown): “This is known to be finite [50].”
Radical embeddings and representation dimension (2002, background): “R T ] 2 3 O ct DEDICATED TO THE MEMORY OF SHEILA BRENNER”
Non-Commutative Crepant Resolutions: Scenes from Categorical Geometry (2011, background): “re under shifts, direct sums and summands, and distinguished triangles. Rouquier proved that if Λ is a ﬁnite-dimensional algebra over a perfect ﬁeld k, then dimDb(Λ-mod)ÉrepdimΛ. Iyama showed in 2003 [Iya03] that the representation dimension of a ﬁnite-dimensional algebra is always ﬁnite. He also ex”
Rouquier's theorem on representation dimension (2005, unknown): “R T ] 1 3 Se p 20 05”