On Representations of Classical Groups over Finite Local Rings of Length Two

Mathematics – Representation Theory

Scientific paper

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10 pages

Scientific paper

We study the complex irreducible representations of special linear,
symplectic, orthogonal and unitary groups over principal ideal local rings of
length two. We construct a canonical correspondence between the irreducible
representations of all such groups that preserves dimensions. The case for
general linear groups has already been proved by author.

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