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| On the Construction of Simple Groups oyer Formally Real Fields |
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Citation： |
Chen Chonhu.On the Construction of Simple Groups oyer Formally Real Fields[J].Chinese Annals of Mathematics B,1987,8(2):170~180 |
| Page view： 702
Net amount： 790 |
Authors： |
Chen Chonhu; |
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| Abstract： |
The problem of classifying the semi-simple algebraic groups defined over R is reduced to the problem of finding all admissible (R)-indices (i.e. the.Satake diagrams). In this paper, by a similar way as in the construction of Chevalley groups and the twised groups, for all admissible (R)-indices (except two indices given in table II'), a uniform construction of simple groups of adjoint type defined over formally real fields is given. Moreover, the quasi-Bruhat decomposition of such groups is given also in this paper. Thus a uniform proof of the existence of simple algebraic groups of adjoint type defined over R is given. |
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