The problems of classifying pairs of forms and local algebras with zero cube radical are wild

Genrich Belitskii, Vitalij M. Bondarenko, Ruvim Lipyanski, Vladimir V. Plachotnik, Vladimir V. Sergeichuk

Research output: Contribution to journalArticlepeer-review

13 Scopus citations

Abstract

We prove that over an algebraically closed field of characteristic not two the problems of classifying pairs of sesquilinear forms in which the second is Hermitian, pairs of bilinear forms in which the second is symmetric (skew-symmetric), and local algebras with zero cube radical and square radical of dimension 2 are hopeless since each of them reduces to the problem of classifying pairs of n-by-n matrices up to simultaneous similarity.

Original languageEnglish
Pages (from-to)135-142
Number of pages8
JournalLinear Algebra and Its Applications
Volume402
Issue number1-3
DOIs
StatePublished - 1 Jun 2005

Keywords

  • Local algebras
  • Pairs of bilinear forms
  • Wild problems

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