Rouquier's theorem on representation dimension

By Henning Krause, D. Kussin. 2005

64 citations recorded by the source corpus.

Based on work of Rouquier, some bounds for Aulander's representation dimension are discussed. More specifically, if X is a reduced projective scheme of dimension n over some field, and T is a tilting complex of coherentOX-modules, then the representation dimension of the endomorphism algebra EndOX(T) is at least n.

Subfields: Algebra and Number Theory, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/6c299d1bb892469efa5930d992311754606db75c

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In Algebra and Number Theory

1. Xiao-Wu Chen
2. Pu Zhang
3. Apostolos Beligiannis
4. Chrysostomos Psaroudakis
5. Nan Gao
6. P. Ara
7. Kulumani M. Rangaswamy

In Geometry and Topology

1. Xiao-Wu Chen
2. Pu Zhang
3. Yu Ye
4. Apostolos Beligiannis
5. Chrysostomos Psaroudakis
6. Nan Gao
7. P. Ara
8. Kulumani M. Rangaswamy

Citations in the corpus

• Orlov spectra: bounds and gaps (2010, unknown): “Oppermann, see [2], [10], [31], [38],[39],.”
• Algebras of Derived Dimension Zero (2006, background): “nsional left A-modules, and by Db(A-mod) the bounded derived category. Define the derived dimension of A, denoted by der.dim(A), to be the dimension of the triangulated category Db(A-mod). By [Ro] and [KK] one has der.dim(A) ≤ min{l(A), gl.dim(A), rep.dim(A)} where l(A) is the smallest integer l ≥ 0 ”