Abstract

ABSTRACT 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(λ) of 𝔘(𝔤 l ) is obtained in this note.

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