摘要

We first present an axiomatic approach to proving that an algebra with a cell theory in Lusztig's sense is affine cellular in the sense of Koenig and Xi; then we will show that the affine q-Schur algebra U-r,U- n,U- n is affine cellular. We also show that U-r,U- n,U- n is of finite global dimension and its derived module category admits a stratification when the parameter v is an element of C* is not a root of unity.