✦ LIBER ✦
On the identification of natural modules for symplectic and linear groups defined over arbitrary fields
✍ Scribed by F. G. Timmesfeld
- Publisher
- Springer
- Year
- 1990
- Tongue
- English
- Weight
- 642 KB
- Volume
- 35
- Category
- Article
- ISSN
- 0046-5755
No coin nor oath required. For personal study only.
✦ Synopsis
Dedicated to Professor J. Tits on the occasion of his sixtieth birthday
ABSTRACT. Let G be SL,(k) or Sp(2n, k), k a field. Then a criterion for a ZG-module V to be the direct sum of natural, resp. natural and dual, kG-modules is given. In fact this criterion holds for perfect central extensions of G generated by 'k-root subgroups'. This has an application to the classification of non-simple groups generated by 'k-root subgroups'.