Maximal antipodal sets in irreducible compact symmetric spaces

TL;DR

This paper classifies maximal antipodal sets in irreducible compact symmetric spaces, providing explicit descriptions for most cases except for certain spin groups and related quotient spaces.

Contribution

It offers a comprehensive classification of maximal antipodal sets in irreducible compact symmetric spaces, excluding some spin group cases.

Findings

Explicit classification for most irreducible compact symmetric spaces.

Identification of exceptions involving spin and half-spin groups.

Enhanced understanding of antipodal configurations in symmetric spaces.

Abstract

We give an explicit classification of maximal antipodal sets in any irreducible compact symmetric space except for spin groups and half spin groups, and some quotient symmetric spaces associated to them.