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arXiv:math/0309303 [math.RT]AbstractReferencesReviewsResources

A New Multiplicity Formula for the Weyl Modules of Type A

Jiachen Ye, Zhongguo Zhou

Published 2003-09-18Version 1

A monomial basis and a filtration of subalgebras for the universal enveloping algebra $U(g_l)$ of a complex simple Lie algebra $g_l$ of type $A_l$ is given in this note. In particular, a new multiplicity formula for the Weyl module $V(\lambda)$ of $U(g_l)$ is obtained in this note.

Comments: 13 pages
Journal: Commun. Algebra 32(2005), no. 12, 4361-4373
Categories: math.RT
Subjects: 17B10, 20G05
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