Cyclicity and R-matrices

David Hernandez

doi:10.1007/s00029-019-0465-z

Cyclicity and R-matrices

Quantum Algebra 2020-05-18 v2 Representation Theory

Authors: David Hernandez

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Abstract

Let $S_1, \cdots, S_N$ simple finite-dimensional modules of a quantum affine algebra. We prove that if $S_i\otimes S_j$ is cyclic for any $i < j$ (i.e. generated by the tensor product of the highest weight vectors), then $S_1\otimes \cdots \otimes S_N$ is cyclic. The proof is based on the study of $R$ -matrices.

Keywords

dynamical systems

Cite

@article{arxiv.1710.05756,
  title  = {Cyclicity and R-matrices},
  author = {David Hernandez},
  journal= {arXiv preprint arXiv:1710.05756},
  year   = {2020}
}

Comments

20 pages. This article may be seen as a generalization of arXiv:0907.3002 on which it is partially based. V2 : slight modifications, references updated. To appear in Selecta Mathematica

Cyclicity and R-matrices

Abstract

Keywords

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