Rigidity of formal character of Lie algebras of type A

Abstract

For a complex simple Lie algebra of type $A$, given a family of elements $f_{\lambda }\in \mathbb{Z}[\Lambda ],\lambda \in {\Lambda }^{+},$ we show that $f_{\lambda }$ is just the formal character of the Weyl module $V(\lambda )$ if $f_{\lambda }$ satisfy two natural conditions.

arXiv comment7 pages

Cited by in corpus (1)

• Rigidity of formal characters of Lie algebras (II)