Abstract

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.

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.

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 $\mathfrak{p}$-adic field.

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 $\mathfrak{p}$-adic field.

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.

Authors