Rings of invariants of 2×2 matrices in positive characteristic

S. G. Kuz'min, A. N. Zubkov

Research output: Contribution to journalArticlepeer-review

1 Citation (Scopus)


We prove that the rings of invariants of 2×2 matrices over an infinite field are Cohen-Macaulay. This result generalizes the similar theorem of Mehta and Ramadas in odd characteristics. Our approach is more elementary and it uses only some standard facts from the theory of modules with good filtrations and the theory of determinantal rings.

Original languageEnglish
Pages (from-to)271-278
Number of pages8
JournalLinear Algebra and Its Applications
Issue numberSPEC. ISS.
Publication statusPublished - 2003
Externally publishedYes


  • Cohen-Macaulay rings
  • Matrix invariants

ASJC Scopus subject areas

  • Algebra and Number Theory
  • Numerical Analysis
  • Geometry and Topology
  • Discrete Mathematics and Combinatorics


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