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Abstract: We study the structure of tensor representations of the classicalinfinite-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 theirJordan-Holder constituents, socle filtrations, and indecomposable directsummands.



Author: I. Penkov, K. Styrkas

Source: https://arxiv.org/







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