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Generators of Chevalley Groups over Z
Published online by Cambridge University Press: 20 November 2018
Extract
Let be the universal Chevalley group ([1], p. 197) of type
over a field K and
where Ф is the set of roots of
. Let n = {α1, α2, …, an} be a fundamental system of roots of
and put
Then we know from [2] (p. 950) that
where h is the Coxeter number of We call an element of
conjugate to W a Coxeter element and an element conjugate to M a Kac element.
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- Copyright © Canadian Mathematical Society 1986
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