Abstract
We classify blocks in the BGG category O of modules of non-integral weights for the exceptional Lie superalgebra D(2|1; ζ). We establish various reduction methods, which connect some types of non-integral blocks of D(2|1; ζ) with integral blocks of general linear Lie superalgebras gl(1|1) and gl(2|1). We compute the characters for irreducible D(2|1; ζ)-modules of non-integral weights in O.
Original language | English |
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Pages (from-to) | 1223-1250 |
Number of pages | 28 |
Journal | Transformation Groups |
Volume | 27 |
Issue number | 4 |
DOIs | |
State | Published - Dec 2022 |