Completeness of derivation algebras of finite commutative group algebras

Leo Creedon, Kieran Hughes

Research output: Contribution to journalArticlepeer-review

Abstract

This paper studies the set of derivations of a commutative group algebra over a finite field. The Lie algebra formed from this set by defining multiplication as the Lie commutator is shown to have trivial center. Also, the Lie algebra of derivations of the group algebra KG is shown to be complete, whenever K is a finite field of characteristic p, and G is a finite abelian group such that its Sylow p-subgroup is elementary abelian.

Original languageEnglish
Pages (from-to)1-33
Number of pages33
JournalPublicationes Mathematicae Debrecen
Volume104
Issue number1-4
DOIs
Publication statusPublished - 2024

Keywords

  • Lie algebra
  • complete
  • derivation
  • group algebra

Name of Affiliated ATU Research Unit

  • MISHE - Mathematical Modelling and Intelligent Systems for Health & Environment

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