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

作者：Chen, Chih-Whi; Cheng, Shun-Jen^*; Luo, Li

来源：Transformation Groups, 2022, 27(4): 1223-1250.

DOI：10.1007/s00031-021-09691-8

• KAZHDAN-LUSZTIG CONJECTURE
• PRIMITIVE SPECTRUM
• ENVELOPING ALGEBRA
• LIE
• REPRESENTATIONS
• IDEALS
• CLASSIFICATION
• MODULES

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.

• 单位
  中国科学院