• Title/Summary/Keyword: Varma modules

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SOME PROPERTIES OF VERMA MODULES OVER AFFINE LIE ALGEBRAS

  • Kim, Wan-Soon
    • Communications of the Korean Mathematical Society
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    • v.10 no.4
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    • pp.789-795
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    • 1995
  • For nonintegrable weight $-\rho$, some weight multiplicities of the irreducible module $L(-\rho)$ over $A^{(1)}_{(1)}$ affine Lie algebras are expressed in terms of the colored partition functions. Also we find the multiplicity of $L(-\rho)$ in ther Verma module $M(-\rho)$ for any affine Lie algebras.

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