Normal forms for matrices over uniserial rings of length two

This paper develops methods to describe the conjugacy classes of GL(n,R) on Rn×n for a serial ring R of length two. The main result is a reduction to a computation in the matrix algebra over the residue class field of R, which in some cases can be done theoretically without any actual computation.

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Bibliographic Details
Published inJournal of algebra Vol. 358; pp. 250 - 256
Main Authors Jambor, Sebastian, Plesken, Wilhelm
Format Journal Article
LanguageEnglish
Published Elsevier Inc 15.05.2012
Subjects
Conjugacy classes
Normal forms of matrices
Conjugacy classes
Normal forms of matrices
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Summary:This paper develops methods to describe the conjugacy classes of GL(n,R) on Rn×n for a serial ring R of length two. The main result is a reduction to a computation in the matrix algebra over the residue class field of R, which in some cases can be done theoretically without any actual computation.
ISSN:0021-8693
1090-266X
DOI:10.1016/j.jalgebra.2012.01.028