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| ALGEBRAIC GROUPS ASSOCIATED WITH GRADED LIE ALGEBRAS OF CARTAN TYPE |
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Citation： |
Shen Guangyu,Shu Bin.ALGEBRAIC GROUPS ASSOCIATED WITH GRADED LIE ALGEBRAS OF CARTAN TYPE[J].Chinese Annals of Mathematics B,1998,19(3):293~298 |
| Page view： 995
Net amount： 712 |
Authors： |
Shen Guangyu; Shu Bin |
Foundation： |
Project supported by the National Natural Science
Foundation of China. |
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| Abstract： |
For a graded simple Lie algebra of Cartan type $L = X\mntwo$,
$X \in \{ W,S,H,K \}$, over a field $F$ of odd characteristic $p$, the
group generated by one-parameter subgroups of the form exp($t$ad$y$)
is described, where $y \in L + F u $ satisfying $y^p = 0$,
$t \in F$ and $u$ is some fixed element of the $p$-envelope of $L$
in Der$\fraka (m:\bn)$. |
Keywords： |
Algebraic Groups, Cartan type Lie algebras |
Classification： |
17B10 |
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