%0 Journal Article %T Monomial Irreducible sln-Modules %J Bulletin of the Iranian Mathematical Society %I Iranian Mathematical Society (IMS) %Z 1017-060X %A Shahryari, M. %D 2011 %\ 09/15/2011 %V 37 %N No. 3 %P 183-195 %! Monomial Irreducible sln-Modules %K symmetric group %K character theory %K representations of Lie algebras %K symmetry classes of tensors %R %X 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. %U http://bims.iranjournals.ir/article_359_c314a69d352fa6f7d05794e57d93f5e2.pdf