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arXiv · 1310.3251

On a category of $gl_{\infty}$-modules

Cuipo Jiang·Haisheng Li
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Abstract

We study a particular category ${\cal{C}}$ of $\gl_{\infty}$-modules and a subcategory ${\cal{C}}_{int}$ of integrable $\gl_{\infty}$-modules. As the main results, we classify the irreducible modules in these two categories and we show that every module in category ${\cal{C}}_{int}$ is semi-simple. Furthermore, we determine the decomposition of the tensor products of irreducible modules in category ${\cal{C}}_{int}$.

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Cuipo Jiang, Haisheng Li. 2013-10-11. On a category of $gl_{\infty}$-modules. https://arxiv.org/abs/1310.3251

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