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A New Multiplicity Formula for the Weyl Modules of Type A

Jiachen Ye, Zhongguo Zhou

math.RTarXiv:math/0309303

Abstract

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

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