Blocks and characters of G(3)-modules of non-integral weights

Chih Whi Chen, Shun Jen Cheng, Li Luo

Research output: Contribution to journalArticlepeer-review

1 Scopus citations


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).

Original languageEnglish
Pages (from-to)574-616
Number of pages43
JournalJournal of Algebra
StatePublished - 15 Dec 2021


  • Bernstein-Gelfand-Gelfand categories O
  • Blocks
  • Characters
  • Exceptional Lie superalgebras
  • Lie algebras
  • Lie superalgebras
  • Tilting modules


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