Rouquier's theorem on representation dimension

Details Rouquier's theorem on representation dimension Rouquier's theorem on representation dimension

2005-05-03

arxiv.org/abs/math/0505055v2

Mathematics

Representation Theory

Revised version; some details are added

Scientific paper

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 coherent
O_X-modules, then the representation dimension of the endomorphism algebra of T
is at least n.

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