English

Affine Vogan Diagrams and Symmetric Pairs

Representation Theory 2022-02-09 v1 Rings and Algebras

Abstract

We introduce the affine Vogan diagrams of complex simple Lie algebras. These are generalizations of Vogan diagrams, and we study the involutions represented by them. We apply these diagrams to study the symmetric pairs, in particular the associated and symplectic symmetric pairs.

Keywords

Cite

@article{arxiv.2202.04034,
  title  = {Affine Vogan Diagrams and Symmetric Pairs},
  author = {Meng-Kiat Chuah},
  journal= {arXiv preprint arXiv:2202.04034},
  year   = {2022}
}