Simple tensor products

Details Simple tensor products Simple tensor products

2009-07-17

arxiv.org/abs/0907.3002v2

Invent. Math. 181 (2010), no. 3, 649--675

Mathematics

Quantum Algebra

21 pages ; accepted for publication in Inventiones Mathematicae

Scientific paper

Let F be the category of finite dimensional representations of an arbitrary
quantum affine algebra. We prove that a tensor product $S_1\otimes ... \otimes
S_N$ of simple objects of F is simple if and only if for any $i < j$,
$S_i\otimes S_j$ is simple.

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