Blocks and characters of D(2|1;ζ)-modules of non-integral weights

2020/02/07 by Chih-Whi Chen, Chen, Chih-Whi, Shun‐Jen Cheng +3 · 1 citation
Mathematics · #17B10 #Advanced Algebra and Geometry #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Representation Theory (math.RT) #Rings, Modules, and Algebras

paper · pdf · doi:10.48550/arxiv.2002.02662

openalex publication_date 2020/02/07 · openalex created_date 2024/04/11 · openalex updated_date 2026/07/28

Abstract

We classify blocks in the BGG category \mathcal 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 \mathfrakgl(1|1) and \mathfrakgl(2|1). We compute the characters for irreducible D(2|1;ζ)-modules of non-integral weights in \mathcal O.

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