BLOCKS AND CHARACTERS OF D(2|1; ζ)-MODULES OF NON-INTEGRAL WEIGHTS

摘要

We classify blocks in the BGG category O of modules of non-integral weights for the exceptional Lie superalgebra D(2j1; zeta). We establish various reduction methods, which connect some types of non-integral blocks of D(2j1; zeta) with integral blocks of general linear Lie superalgebras gl(1j1) and gl(2j1). We compute the characters for irreducible D(2j1; zeta)-modules of non-integral weights in O.

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