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arXiv · 1509.02097

New family of simple $\mathfrak{gl}_{2n}(\mathbb{C})$-modules

Jonathan Nilsson
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Abstract

We construct a new family of simple $\mathfrak{gl}_{2n}$-modules which depends on $n^2$ generic parameters. Each such module is isomorphic to the regular $U(\mathfrak{gl}_{n})$-module when restricted the $\mathfrak{gl}_{n}$-subalgebra naturally embedded into the top-left corner.

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BibTeXRIS

Jonathan Nilsson. 2015-09-07. New family of simple $\mathfrak{gl}_{2n}(\mathbb{C})$-modules. https://doi.org/10.2140/pjm.2016.283.1

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