To each Levi subgroup of a general linear group there corresponds a set of general linear groups of smaller order. One may therefore construct an irreducible representation of such a Levi subgroup by taking the tensor product of irreducible representations of the smaller general linear groups. We generalize this construction to the context of metaplectic coverings over a p-adic field.

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Journal Pacific Journal of Mathematics
Mezo, P. (2004). Metaplectic tensor products for irreducible representations. Pacific Journal of Mathematics, 215(1), 85–96.