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 language | English |
|---|---|
| Pages (from-to) | 1-33 |
| Number of pages | 33 |
| Journal | Publicationes Mathematicae Debrecen |
| Volume | 104 |
| Issue number | 1-2 |
| DOIs | |
| Publication status | Published - 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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