Rank Two Integral Representations of the Infinite Dihedral Group

Abstract

We give an effective classification of the representations of the infinite dihedral group in GL ₂(R) where R is either the valuation ring ℤ_(p) or the ring of p-adic integers.

Key Words:

• Infinite dihedral group
• Integral representations
• Kac–Moody groups

Mathematics Subject Classification:

• 20C12

Notes

Communicated by M. Vigué.