Tensor representations of classical locally finite Lie algebras

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/137713We study the structure of tensor representations of the classical infinite-dimensional locally finite Lie algebras $gl_\infty$, $sl_\infty$, $sp_\infty$ and $so_\infty$. In contrast with the finite-dimensional case, these tensor representations are not semisimple. We explicitly describe their Jordan-Holder constituents, socle filtrations, and indecomposable direct summands.21 pagesRepresentation Theory17B65; 17B10; 17B20Tensor representations of classical locally finite Lie algebrastext