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

2011/01/19 by Pooja Singla, Singla, Pooja
Computer Science · Mathematics · #Advanced Algebra and Geometry #Advanced Topics in Algebra #Coding theory and cryptography #FOS: Mathematics #Finite Group Theory Research #Primary 20G05 #Representation Theory (math.RT) #Secondary 20C15 #math.RT #msc:20C15 #msc:20G05

paper · pdf · doi:10.48550/arxiv.1101.3696

10 pages

openalex publication_date 2011/01/19 · arxiv created 2011/04/22 · arxiv updated 2011/04/25 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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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