Highest weight modules of the double affine Lie algebra sl(2) are studied under a new triangular decomposition. Singular vectors of Verma modules are determined using a similar condition with horizontal affine Lie subalgebras, and highest weight modules are described under the condition c(1) > 0 and c(2) = 0.
机构:
Univ Nantes, Fac Sci & Tech, Lab Math Jean Leray, F-44322 Nantes 3, FranceUniv Nantes, Fac Sci & Tech, Lab Math Jean Leray, F-44322 Nantes 3, France