摘要: We study categories of finite-dimensional modules over the periplectic Lie superalgebras and obtain a BGG type reciprocity. In particular, we prove that these categories have only finitely-many blocks. We also compute the characters for irreducible modules over periplectic Lie superalgebras of ranks 2 and 3, and obtain explicit description of the blocks for ranks 2, 3, and 4. 出版者: Elsevier Inc 出版日期: 2015-12-01 出處: Journal of algebra, 2015-12, Vol.443, p.99-125 資源來源: Elsevier ScienceDirect Journals Complete 版權: 2015 Elsevier Inc. 識別號: ISSN: 0021-8693 識別號: EISSN: 1090-266X 識別號: DOI: 10.1016/j.jalgebra.2015.06.042