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Sugawara construction for affine SL(N,1)

✍ Scribed by Måns Henningson

Book ID: 116147905
Publisher: Elsevier Science
Year: 1990
Tongue: English
Weight: 514 KB
Volume: 344
Category: Article
ISSN: 0550-3213
DOI: 10.1016/0550-3213(90)90371-j

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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