Similarity Classes of 3 × 3 Matrices Over a Local Principal Ideal Ring

DOI10.1080/00927870902747266zbMath1176.15013arXiv0708.1608OpenAlexW3098846030MaRDI QIDQ3395609

Uri Onn, Nir Avni, Amritanshu Prasad, L.N.Vaserstein and E.R.Wheland

Publication date: 11 September 2009

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0708.1608

zbMATH Keywords

classificationgenerating functionenumerationsimilarity classeslocal principal ideal commutative ring

Mathematics Subject Classification ID

Matrices over special rings (quaternions, finite fields, etc.) (15B33) Matrices over function rings in one or more variables (15A54) Canonical forms, reductions, classification (15A21)

Related Items (9)

Simultaneous similarity classes of commuting matrices over a finite field ⋮ On representations of general linear groups over principal ideal local rings of length two. ⋮ Kolyvagin derivatives of modular points on elliptic curves ⋮ On Representations of Classical Groups Over Principal Ideal Local Rings of Length Two ⋮ Normal forms for matrices over uniserial rings of length two ⋮ Block conjugacy of irreducible toral automorphisms ⋮ Similarity classes of integral p-adic matrices and representation zeta functions of groups of type A₂ ⋮ Adjoint orbits of matrix groups over finite quotients of compact discrete valuation rings and representation zeta functions ⋮ Indecomposable and isomorphic objects in the category of monomial matrices over a local ring

Cites Work

• Similarity classes of 3x3 matrices over a discrete valuation ring
• The similarity problem for 3x3 integer matrices
• Schemata over local rings. II
• Certain matrix equations over rings of integers
• Schemata over local rings
• Unnamed Item

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