Abstract
We classify blocks in the BGG category O of modules of non-integral weights for the exceptional Lie superalgebra G(3). We compute the characters for tilting modules of non-integral weights in O. Reduction methods are established to connect non-integral blocks of G(3) with blocks of the special linear Lie algebra sl(2), the exceptional Lie algebra G2, the general linear Lie superalgebras gl(1|1), gl(2|1) and the ortho-symplectic Lie superalgebra osp(3|2).
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