A Chevalley–Kostant presentation of basi
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Jacob Greenstein; Anthony Joseph
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Article
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2001
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Elsevier Science
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French
⚖ 180 KB
Let g be a semisimple Lie algebra with triangular decomposition g = n -⊕ h ⊕ n + and ρ the half-sum of the roots of n + . It is a remarkable fact that up to a shift by ρ the weights of the exterior algebra of n -are exactly those of the simple highest weight module V (ρ) with highest weight ρ. Moreo