Rigidity of Formal Characters of Lie algebras of type A
Journal of Lie theory, Tome 25 (2015) no. 2, pp. 553-558
For a complex simple Lie algebra of type $A$, given a family of elements $f_\lambda\in \Z[\Lambda]$, $\lambda\in \Lambda^+$, we show that $f_\lambda$ is just the formal character of the Weyl module $V(\lambda)$ if $f_\lambda$ satisfies two natural conditions.
Classification :
17B10, 20G05
Mots-clés : Formal characters, tensor product, Weyl modules
Mots-clés : Formal characters, tensor product, Weyl modules
@article{JLT_2015_25_2_JLT_2015_25_2_a12,
author = {Z. Zhou},
title = {Rigidity of {Formal} {Characters} of {Lie} algebras of type {A}},
journal = {Journal of Lie theory},
pages = {553--558},
year = {2015},
volume = {25},
number = {2},
url = {http://geodesic.mathdoc.fr/item/JLT_2015_25_2_JLT_2015_25_2_a12/}
}
Z. Zhou. Rigidity of Formal Characters of Lie algebras of type A. Journal of Lie theory, Tome 25 (2015) no. 2, pp. 553-558. http://geodesic.mathdoc.fr/item/JLT_2015_25_2_JLT_2015_25_2_a12/