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

Chih Whi Chen, Shun Jen Cheng, Li Luo

Research output: Contribution to journalArticlepeer-review

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 languageEnglish
JournalTransformation Groups
DOIs
StateAccepted/In press - 2022

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