An extension of a result of Lewis
The electronic journal of linear algebra, Tome 5 (1999), pp. 1-10.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: A result of Lewis on the extreme properties of the inner product of two vectors in a Cartan subspace of a semisimple Lie algebra is extended. The framework used is an Eaton triple which has a reduced triple. Applications are made for determining the minimizers and maximizers of the distance function considered by Chu and Driessel with spectral constraint.
Classification : 15A42
Keywords: eaton triple, reduced triple, finite reflection group AMS subject
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     author = {Tam, Tin-Yau},
     title = {An extension of a result of {Lewis}},
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Tam, Tin-Yau. An extension of a result of Lewis. The electronic journal of linear algebra, Tome 5 (1999), pp. 1-10. http://geodesic.mathdoc.fr/item/ELA_1999__5__a7/