English

Simple tensor products

Quantum Algebra 2015-05-13 v2 Representation Theory

Abstract

Let F be the category of finite dimensional representations of an arbitrary quantum affine algebra. We prove that a tensor product S1...SNS_1\otimes ... \otimes S_N of simple objects of F is simple if and only if for any i<ji < j, SiSjS_i\otimes S_j is simple.

Keywords

Cite

@article{arxiv.0907.3002,
  title  = {Simple tensor products},
  author = {David Hernandez},
  journal= {arXiv preprint arXiv:0907.3002},
  year   = {2015}
}

Comments

21 pages ; accepted for publication in Inventiones Mathematicae

R2 v1 2026-06-21T13:26:00.505Z