Unitary groups over local rings

2013/03/20 by James Cruickshank, J. Cruickshank, A. Herman +9
Mathematics · #Advanced Algebra and Geometry #Advanced Topics in Algebra #FOS: Mathematics #Finite Group Theory Research #Group Theory (math.GR) #math.GR

paper · pdf · doi:10.48550/arxiv.1303.5106

arxiv created 2013/03/20 · openalex publication_date 2013/03/20 · arxiv updated 2013/03/22 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Structural properties of unitary groups over local, not necessarily commutative, rings are developed, with applications to the computation of the orders of these groups (when finite) and to the degrees of the irreducible constituents of the Weil representation of a unitary group associated to a ramified extension of finite local rings.

Related

• The Weil representation of a unitary group associated to a ramified quadratic extension of a finite local ring
• Weil representations of unitary groups over ramified extensions of finite local rings with odd nilpotency length
• Unitary groups and ramified extensions
• On Representations of Classical Groups over Finite Local Rings of Length Two
• Generators and relations for the unitary group of a skew hermitian form\n over a local ring