1995•Communications of the Korean Mathematical SocietyRequires access

SOME PROPERTIES OF VERMA MODULES OVER AFFINE LIE ALGEBRAS

Wan-Soon Kim

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Abstract

For nonintegrable weight , some weight multiplicities of the irreducible module over affine Lie algebras are expressed in terms of the colored partition functions. Also we find the multiplicity of in ther Verma module for any affine Lie algebras.

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For nonintegrable weight , some weight multiplicities of the irreducible module over affine Lie algebras are expressed in terms of the colored partition functions. Also we find the multiplicity of in ther Verma module for any affine Lie algebras.

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Available abstract

For nonintegrable weight , some weight multiplicities of the irreducible module over affine Lie algebras are expressed in terms of the colored partition functions. Also we find the multiplicity of in ther Verma module for any affine Lie algebras.

Key concepts: Verma module, Mathematics, Affine transformation, Pure mathematics, Affine representation, Affine Lie algebra, Partition (number theory), Multiplicity (mathematics)

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