\magnification=1200
\hsize=4in
\overfullrule=0pt
\input amssym
%\def\frac#1 #2 {{#1\over #2}}
\def\emph#1{{\it #1}}
\def\em{\it}
\nopagenumbers
\noindent
%
%
{\bf Sankaran Viswanath}
%
%
\medskip
\noindent
%
%
{\bf A Note on Exponents vs Root Heights for Complex Simple Lie Algebras}
%
%
\vskip 5mm
\noindent
%
%
%
%
We give an elementary combinatorial proof of a special case of a
result due to Bazlov and Ion concerning the Fourier coefficients of
the Cherednik kernel. This can be used to give yet another proof of
the classical fact that for a complex simple Lie algebra
{\font\fraktur=cmfrak10 {\fraktur g}}, the partition formed by the
exponents of {\font\fraktur=cmfrak10 {\fraktur g}} is dual to that
formed by the numbers of positive roots at each height.
\bye