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