Normal forms for matrices over uniserial rings of length two

DOI10.1016/j.jalgebra.2012.01.028zbMath1255.15012OpenAlexW1965558359MaRDI QIDQ1758542

Wilhelm Plesken, Sebastian Jambor

Publication date: 9 November 2012

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2012.01.028

zbMATH Keywords

conjugacy classesmatrix algebraserial ringnormal form of matrix

Mathematics Subject Classification ID

Matrices over special rings (quaternions, finite fields, etc.) (15B33) Canonical forms, reductions, classification (15A21)

Related Items (4)

Simultaneous similarity classes of commuting matrices over a finite field ⋮ Locally free representations of quivers over commutative Frobenius algebras ⋮ 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

Uses Software

• GAP

Cites Work

• On representations of general linear groups over principal ideal local rings of length two.
• Similarity classes of 3x3 matrices over a discrete valuation ring
• Error-correcting linear codes. Classification by isometry and applications. With CD-ROM
• Similarity Classes of 3 × 3 Matrices Over a Local Principal Ideal Ring
• Similarity Problem Over SL(n, Z p )
• Endliche Gruppen I
• Similarity of Matrices over Finite Rings
• Die irreduziblen Darstellungen von \(GL_2(Z_p)\), insbesondere \(GL_2(Z_2)\)
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