subregular nilpotent representations of lie algebras in prime ...
subregular nilpotent representations of lie algebras in prime ...
subregular nilpotent representations of lie algebras in prime ...
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We have then h + ; _ 0 i = p , 1; furthermore belongs to C 0 0 and is <strong>in</strong> the<br />
closure <strong>of</strong> the facet <strong>of</strong> .Wehave<br />
hw ; _ i = h + ; w ,1 _ i,1=,p 0 (mod p);<br />
hence dim Z (w ; )=p N ,1 . Therefore Z (w ; )issimpleby Premet's theorem.<br />
We have<br />
hence by B.11<br />
,p