Special Weights and Roots for Finite Lie Algebras

Details Special Weights and Roots for Finite Lie Algebras Special Weights and Roots for Finite Lie Algebras

2003-02-26

arxiv.org/abs/math-ph/0302061v1

Physics

Mathematical Physics

7 pages, Plain TeX

Scientific paper

With the introduction of special roots, we show the existence of some special
weights with quite interesting properties for finite Lie algebras. We propose
and discuss two statements which lead us to an explicit construction of these
special weights and roots. It is seen that special weights provides us an
alternative way of expressing the whole action of Weyl groups.

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