Contents Online
Mathematical Research Letters
Volume 10 (2003)
Number 3
A characterization of Dynkin elements
Pages: 363 – 373
DOI: https://dx.doi.org/10.4310/MRL.2003.v10.n3.a6
Authors
Abstract
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, which leads to some conjectures in representation theory.
Published 1 January 2003