✦ LIBER ✦
Symmetric association schemes attached to finite upper half planes over rings
✍ Scribed by Makoto Tagami
- Publisher
- Elsevier Science
- Year
- 2004
- Tongue
- English
- Weight
- 195 KB
- Volume
- 376
- Category
- Article
- ISSN
- 0024-3795
No coin nor oath required. For personal study only.
✦ Synopsis
The finite upper half planes over finite fields and rings are finite analogues of the Poincaré upper half plane. The general linear group G acts transitively on the finite upper half plane. Let K denote the stabilizer of a point. In the case of fields, it is well-known that the pair of (G, K) is a Gelfand pair. In this paper, we show that (G, K) is also a Gelfand pair in the case of rings.