INDECOMPOSABLE REPRESENTATIONS OF THE EUCLIDEAN ALGEBRA 𝔢(3) FROM IRREDUCIBLE REPRESENTATIONS OF

DOI10.1017/S0004972711002115zbMath1239.17002OpenAlexW64021027MaRDI QIDQ3004961

Douglas, Andrew S., Joe Repka

Publication date: 6 June 2011

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0004972711002115

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Simple, semisimple, reductive (super)algebras (17B20)

Related Items (7)

Free 2-step nilpotent Lie algebras and indecomposable representations ⋮ Classification of embeddings of abelian extensions of \(D_n\) into \(E_{n+1}\) ⋮ Levi decomposable algebras in the classical Lie algebras ⋮ Classification of linked indecomposable modules of a family of solvable Lie algebras over an arbitrary field of characteristic 0 ⋮ Nilpotency degree of the nilradical of a solvable Lie algebra on two generators and uniserial modules associated to free nilpotent Lie algebras ⋮ Wide subalgebras of semisimple Lie algebras ⋮ A classification of the embeddings of the Diamond Lie algebra into $\mathfrak {sl}(3,\mathbb {C})$sl(3,C) and $\mathfrak {sp}(4,\mathbb {C})$sp(4,C), and restrictions of irreducible modules

Uses Software

• GAP

Cites Work

• An algorithm to compute bases and representation matrices for \(\text{SL}_{n+1}\)-representations
• A Class of Nonunitary, Finite Dimensional Representations of the Euclidean Algebra 𝔢(2)
• Indecomposable representations of the Diamond Lie algebra
• Introduction to Lie Algebras and Representation Theory

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