A New Multiplicity Formula for the Weyl Modules of Type A

Details A New Multiplicity Formula for the Weyl Modules of Type A A New Multiplicity Formula for the Weyl Modules of Type A

2003-09-18

arxiv.org/abs/math/0309303v1

Commun. Algebra 32(2005), no. 12, 4361-4373

Mathematics

Representation Theory

13 pages

Scientific paper

10.1080/00927870500274465

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.

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