Super duality and irreducible characters of ortho-symplectic Lie superalgebras

• 成果类型: Article
• 署名作者: Cheng, Shun-Jen; Lam, Ngau; Wang, Weiqiang
• 署名单位: University of Virginia; Academia Sinica - Taiwan; National Cheng Kung University
• 刊物名称: INVENTIONES MATHEMATICAE
• ISSN/ISSBN: 0020-9910
• DOI: 10.1007/s00222-010-0277-4
• 发表日期: 2011
• 页码: 189-224
• 关键词: kazhdan-lusztig; formulas; REPRESENTATIONS; MODULES; HOMOLOGY

摘要

We formulate and establish a super duality which connects parabolic categories O for the ortho-symplectic Lie superalgebras and classical Lie algebras of BCD types. This provides a complete and conceptual solution of the irreducible character problem for the ortho-symplectic Lie superalgebras in a parabolic category O, which includes all finite dimensional irreducible modules, in terms of classical Kazhdan-Lusztig polynomials.