Obstructions to lifting automorphisms of free algebras |
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| Authors: | Roger M. Bryant Vesselin Drensky |
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| Affiliation: | 1. Department of Mathematics , P.O. Box 88, Manchester, M60 lQD, U.K.;2. Bulgarian Academy of Sciences , Institute of Mathematics , Akad. G. Bonchev Str. block 8, Sofia, 1113, Bulgaria |
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| 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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| Keywords: | Multiplicity formula Simple Lie algebra Weight |
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