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J. Aust. Math. Soc.
77 (2004), 233-248 | ||||||
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The size of characters of exceptional Lie groups
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| Abstract | ||||||
Pointwise bounds for characters of
representations of the compact, connected,
simple, exceptional Lie groups are obtained. It
is a classical result that if
 is a central, continuous measure on such a
group, then
 is absolutely continuous. Our estimates on the
size of characters allow us to prove that the
exponent, dimension of
 , can be replaced by approximately the rank of
 . Similar results were obtained earlier for the
classical, compact Lie groups.
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