Publication Date
2003
Journal or Book Title
MATHEMATICAL RESEARCH LETTERS
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.
Pages
363-373
Volume
10
Issue
2-3
Recommended Citation
Gunnells, PE and Sommers, E, "A characterization of Dynkin elements" (2003). MATHEMATICAL RESEARCH LETTERS. 789.
Retrieved from https://scholarworks.umass.edu/math_faculty_pubs/789
COinS
Comments
This is the pre-published version harvested from ArXiv. The published version is located at
http://www.mathjournals.org/mrl/2003-010-003/2003-010-003-006.pdf
http://www.mathjournals.org/mrl/2003-010-003/index.html