A characterization of Dynkin elements

Details A characterization of Dynkin elements A characterization of Dynkin elements

2002-12-05

arxiv.org/abs/math/0212089v2

Mathematics

Representation Theory

9 pages

Scientific paper

We give a characterization of the Dynkin elements of a simple Lie algebra.
Namely, we prove that one-half of a Dynkin element is the unique point of
minimal length in its N-region. In type A_n this translates into a statement
about the regions determined by the canonical left Kazhdan-Lusztig cells. Some
possible generalizations are explored in the last section.

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