Finite posets and their representation algebras

Murray Gerstenhaber, Mary Schaps

Research output: Contribution to journalArticlepeer-review

1 Scopus citations

Abstract

A finite poset (P curly precedes sign S) determines a finite dimensional algebra TP over the field of two elements, with an upper triangular representation. We determine the structure of the radical of the representation algebra A of the monoid (TP,·) over a field of characteristic different from 2. We also consider degenerations of A over a complete discrete valuation ring with residue field of characteristic 2.

Original languageEnglish
Pages (from-to)27-38
Number of pages12
JournalInternational Journal of Algebra and Computation
Volume20
Issue number1
DOIs
StatePublished - Feb 2010

Keywords

  • Deformation
  • Degeneration
  • Monoid
  • Poset
  • Representation algebra
  • Semigroup

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