# Monomial Irreducible sln-Modules

Document Type: Research Paper

Author

Abstract

In this article, we introduce monomial irreducible representations of the special linear Lie
algebra $sln$. We will show that this kind of representations have bases for
which the action of the Chevalley generators of the Lie algebra on the basis elements
can be given by a simple formula.

Keywords

### History

• Receive Date: 02 September 2009
• Revise Date: 15 March 2012
• Accept Date: 20 February 2010