Indecomposable representations of the Diamond Lie algebra
Paolo CasatiUniversità di Milano-Bicocca 1 Dipartimento di Matematica e Applicazioni, , Via degli Arcimboldi 8, I-20125 Milano, ItalyStefania MinnitiPolitecnico di Milano 2 , Piazza Leonardo da Vinci 32, 20126 Milano, ItalyValentina SalariPolitecnico di Milano 2 , Piazza Leonardo da Vinci 32, 20126 Milano, Italy
2010en
ABI
Аннотация
We study classes of indecomposable representations of the Diamond Lie algebra: a four-dimensional solvable Lie algebra, which is the central extension of the Poincaré Lie algebra in two dimensions. These representations are obtained first (inspired by Douglas and Premat [Commun. Algebra 35, 1433 (2007)]) by embedding the Diamond Lie algebra in the simple Lie algebras A2 and C2, and then by regarding it as a subalgebra of a truncated current Lie algebra.
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