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math.RT2017★ 2 cited
Indecomposable modules of solvable Lie algebras
Paolo Casati, Andrea Previtali, Fernando Szechtman
We classify all uniserial modules of the solvable Lie algebra , where is an abelian Lie algebra over an algebraically closed field of c…
math.RT2015
The classification of the cyclic $\mathfrak{sl}(n+1)\ltimes \mathbbm{C}^{n+1}$--modules
Paolo Casati
In this paper we classify all the cyclic finite dimensional indecomposable\\ modules of the perfect Lie algebras $\mathfrak{sl}(n+1)\ltimes \mathbbm{C}^{n+1}$, given by the semidir…
math.RT2010★ 10 cited
Irreducible --Representations remain Indecomposable restricted to some Abelian Subalgebras
Paolo Casati
In this paper we show that any irreducible finite dimensional representation of remains indecomposable if restricted to n--dimensional abelian subalgebras spanned by sim…