Classification of invariant valuations on the quaternionic plane |
| |
Authors: | Andreas Bernig Gil Solanes |
| |
Affiliation: | 1. Institut für Mathematik, Goethe-Universität Frankfurt, Robert-Mayer-Str. 10, 60054 Frankfurt, Germany;2. Departament de Matemàtiques, Universitat Autònoma de Barcelona, 08193 Bellaterra, Spain |
| |
Abstract: | We describe the orbit space of the action of the group Sp(2)Sp(1) on the real Grassmann manifolds Grk(H2) in terms of certain quaternionic matrices of Moore rank not larger than 2. We then give a complete classification of valuations on the quaternionic plane H2 which are invariant under the action of the group Sp(2)Sp(1). |
| |
Keywords: | 53C65 53C35 |
本文献已被 ScienceDirect 等数据库收录! |
|