The Loewy series of principal indecomposable modules in the regular nilpotent representations of 𝔰𝔩(3,k)

DOI10.1142/S0219498819502050zbMath1442.17009OpenAlexW2907275531MaRDI QIDQ5235380

Yu-Feng Yao, Yi-Yang Li

Publication date: 10 October 2019

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219498819502050

zbMATH Keywords

baby Verma modulestandard Levi formLoewy seriesprinciple indecomposable modulesregular nilpotent

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Universal enveloping (super)algebras (17B35) Simple, semisimple, reductive (super)algebras (17B20) Modular Lie (super)algebras (17B50)

Cites Work

• Cohomology groups of reduced enveloping algebras
• The structure of certain highest weight modules for \(SL_ 3\)
• Modular representations of reductive Lie algebras
• Modular representations of classical Lie algebras and semi-simple groups
• Irreducible representations of Lie \(p\)-algebras
• Deformations of Lie Algebra Representations
• Modular Representation Theory of Lie Algebras
• Introduction to Lie Algebras and Representation Theory
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