Cartan invariants for Witt Lie superalgebras with \(p\)-characters of height at most one

DOI10.1007/s10468-020-09947-zzbMath1486.17014OpenAlexW3004546800MaRDI QIDQ2048322

Fei Fei Duan, Xun Xie

Publication date: 5 August 2021

Published in: Algebras and Representation Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10468-020-09947-z

zbMATH Keywords

modular representationWitt Lie superalgebraCartan invariantreduced enveloping superalgebra

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Lie algebras of vector fields and related (super) algebras (17B66) Graded Lie (super)algebras (17B70) Modular Lie (super)algebras (17B50)

Related Items (1)

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Cites Work

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• \(p\)-character of height one
• Cartan matrices for restricted Lie algebras
• Representations of the Witt superalgebra \(W(2)\)
• Restricted representations of the Witt superalgebras
• On the simple modules for the restricted Lie superalgebra \(\text{sl}(n|1)\)
• Graded Artin algebras
• Brauer-type reciprocity for a class of graded associative algebras
• Representation theory of the Witt algebra
• Block degeneracy and Cartan invariants for graded Lie algebras of Cartan type
• Modular representations of reductive Lie algebras
• Blocks of Lie superalgebras of type \(W(n)\)
• Cartan invariants for the Witt superalgebra W(2) in positive characteristic
• Modular Representation Theory of Lie Algebras
• Projective modules over Lie algebras of Cartan type
• Fundamental Theorem of Finite Dimensional ℤ₂-Graded Associative Algebras
• Symmetry for the Enveloping Algebra of a Restricted Lie Algebra
• The u-Algebra of a Restricted Lie Algebra is Frobenius
• Lie superalgebras

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