Tensor ideals in the category of tilting modules

Details Tensor ideals in the category of tilting modules Tensor ideals in the category of tilting modules

1996-11-27

arxiv.org/abs/q-alg/9611033v3

Mathematics

Quantum Algebra

9 pages. Essential simplifications in proofs are made

Scientific paper

We study the tensor category $\cQ$ of tilting modules over a quantum group $U_q$ with divided powers. The set $X_+$ of dominant weights is a union of closed alcoves $\oC_w$ numbered by the elements $w\in W^f$ of a certain subset of affine Weyl group $W$. G.Lusztig and N.Xi defined a partition of $W^f$ into canonical right cells and the right order $\le_R$ on the set of cells. For a cell $A\subset W^f$ we consider a full subcategory $\cQ_{

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