English

Extending generalized spin representations

Representation Theory 2017-05-02 v1

Abstract

We revisit the construction of higher spin representations by Kleinschmidt and Nicolai for E10, generalize it to arbitrary simply laced types, and provide a coordinate-free approach to the 3/2-spin and 5/2-spin representations. Moreover, we discuss the relationship between our findings and the representation theory of Sym(3) pointed out to us by Levy.

Keywords

Cite

@article{arxiv.1705.00118,
  title  = {Extending generalized spin representations},
  author = {Robin Lautenbacher and Ralf Köhl},
  journal= {arXiv preprint arXiv:1705.00118},
  year   = {2017}
}