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Burns, JM,Clancy, MJ
2002
November
Journal Of Algebra
Weight sum formulae in Lie algebra representations
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()
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HOMOGENEOUS LINE BUNDLES NEF VALUE SPACES
257
1
12
Many formulae in the representation theory of Lie algebras involve sums of weights, the most celebrated being that of H. Weyl [Math. Z. 24 (1926) 377-395]. In this note we will derive some elementary, but very useful, formulae for summing subsets of-weights of a Lie algebra representation. We also give a selection of applications of these formulae. (C) 2002 Elsevier Science (USA). All rights reserved.
PII S0021-8693(02)00013-3
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