Lie algebra multiplicities

Berman, S.; Moody, R. V.

doi:10.1090/S0002-9939-1979-0537078-X

Lie algebra multiplicities
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by S. Berman and R. V. Moody PDF

Proc. Amer. Math. Soc. 76 (1979), 223-228 Request permission

Abstract:

Exact formulas for root space multiplicities in Cartan matrix Lie algebras and their universal enveloping algebras are computed. We go on to determine the number of free generators of each degree of the radicals defining these algebras.

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