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The paper contains a generalization of known properties of Chebyshev polynomials of the second kind in one variable to polynomials of $n$ variables based on the root lattices of compact simple Lie groups $G$ of any type and of rank $n$.
N. Bourbaki,
1968
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1974
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1974
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K. R. Rao, P. Yip,
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Yuan Xu,
1993
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B. Simon,
1996
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G. Strang,
1999
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P. K. Suetin,
1999
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I. G. Macdonald,
2000
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C. Dunkl and Yuan Xu,
2001
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R. V. Moody and J. Patera,
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J. Patera,
2005
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A. U. Klimyk, J. Patera,
2006
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A. U. Klimyk, J. Patera,
2007
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2008
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2009
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M. Nesterenko, J. Patera, A. Tereszkjewicz
2010
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