The upper triangular algebra loop of degree 4

Kenneth Johnson, M. Munywoki, Jonathan D.H. Smith

Research output: Contribution to journalArticle

2 Citations (Scopus)

Abstract

A natural loop structure is defined on the set U4 of unimodular upper-triangular matrices over a given field. Inner mappings of the loop are computed. It is shown that the loop is non-associative and nilpotent, of class 3. A de- tailed listing of the loop conjugacy classes is presented. In particular, one of the loop conjugacy classes is shown to be properly contained in a superclass of the corresponding algebra group.

Original languageEnglish (US)
Pages (from-to)457-470
Number of pages14
JournalCommentationes Mathematicae Universitatis Carolinae
Volume55
Issue number4
StatePublished - Jan 1 2014

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Triangular Algebra
Conjugacy class
Upper triangular matrix
Group Algebra

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

Cite this

Johnson, Kenneth ; Munywoki, M. ; Smith, Jonathan D.H. / The upper triangular algebra loop of degree 4. In: Commentationes Mathematicae Universitatis Carolinae. 2014 ; Vol. 55, No. 4. pp. 457-470.
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The upper triangular algebra loop of degree 4. / Johnson, Kenneth; Munywoki, M.; Smith, Jonathan D.H.

In: Commentationes Mathematicae Universitatis Carolinae, Vol. 55, No. 4, 01.01.2014, p. 457-470.

Research output: Contribution to journalArticle

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