Finite-dimensional representations of periplectic Lie superalgebras

Please use this identifier to cite or link to this item: https://ir.lib.ncu.edu.tw/handle/987654321/109213

Title:	Finite-dimensional representations of periplectic Lie superalgebras
Authors:	陳志瑋;Chen, Chih-Whi
Contributors:	理學院數學系
Keywords:	BGG reciprocity;Blocks;Irreducible characters;Periplectic Lie superalgebras;Tilting modules
Date:	2015-12-01
Issue Date:	2026-04-23 16:15:56 (UTC+8)
Publisher:	Academic Press Inc.;Elsevier Inc
Abstract:	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
Appears in Collections:	[Department of Mathematics] journal & Dissertation

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