On the Theorem of the Primitive Element with Applications to the Representation Theory of Associative and Lie Algebras

DOI10.4153/CMB-2013-046-9zbMath1333.17007arXiv1306.3965OpenAlexW2087509691MaRDI QIDQ2933755

Leandro Cagliero, Fernando Szechtman

Publication date: 5 December 2014

Published in: Canadian Mathematical Bulletin (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1306.3965

zbMATH Keywords

Lie algebra associative algebra uniserial module primitive element

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Separable extensions, Galois theory (12F10) Finite fields (field-theoretic aspects) (12E20) Structure, classification theorems for modules and ideals in commutative rings (13C05)

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Free 2-step nilpotent Lie algebras and indecomposable representations ⋮ Tensor products and intertwining operators for uniserial representations of the Lie algebra \(\mathfrak{sl}(2) \ltimes V(m)\) ⋮ Jordan–Chevalley Decomposition in Lie Algebras ⋮ Classification of linked indecomposable modules of a family of solvable Lie algebras over an arbitrary field of characteristic 0 ⋮ Indecomposable Modules of 2-step Solvable Lie Algebras in Arbitrary Characteristic ⋮ Classification of finite dimensional uniserial representations of conformal Galilei algebras ⋮ Generalized Artin–Schreier polynomials ⋮ On the degree of repeated radical extensions

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