On blocks in restricted representations of Lie superalgebras of Cartan type

DOI10.1007/s10114-020-9469-zzbMath1486.17013OpenAlexW3083578934MaRDI QIDQ2024984

Bin Shu, Fei Fei Duan, Yu-Feng Yao

Publication date: 4 May 2021

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-020-9469-z

zbMATH Keywords

blockrestricted representationLie superalgebra of Cartan type

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Graded Lie (super)algebras (17B70) Modular Lie (super)algebras (17B50)

Cites Work

• \(p\)-character of height one
• Graded Artin algebras
• Block degeneracy and Cartan invariants for graded Lie algebras of Cartan type
• The generalized restricted representations of graded Lie algebras of Cartan type
• Blocks of Lie superalgebras of type \(W(n)\)
• Restricted representations of Lie superalgebras of Hamiltonian type
• The Brundan-Kazhdan-Lusztig conjecture for general linear Lie superalgebras
• A note on restricted representations of the Witt superalgebras
• Cartan invariants for the Witt superalgebra W(2) in positive characteristic
• Character formulas for restricted simple modules of the special superalgebras
• Classification of simple Lie algebras over algebraically closed fields of prime characteristic
• Lie superalgebras
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