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Vol. 51 No. 3–4 (2025)
Serdica Mathematical Journal

Articles

The Grassmann algebras: derivations and identities

https://doi.org/10.55630/serdica.2025.51.391-418

Published 23-12-2025

  • Vincenzo C. Nardozza

Vincenzo C. Nardozza
Università degli Studi di Bari

Abstract

We survey some classical results on the polynomial identities satisfied by Grassmann algebras, with a list of recent new results on their derivations. Other new results concern the differential polynomial identities of the Grassmann algebra \(E\) of an infinite-dimensional vector space over a field of characteristic zero, arising under the derivation action of some Lie subalgebras of \(Der(E)\).

2020 Mathematics Subject Classification:

15A75, 17B60, 16E45, 16W25

Keywords

Grassmann algebra, derivation, differential polynomial identities

Full text

Author Details

Vincenzo C. Nardozza

Dipartimento di Matematica,
Università degli Studi di Bari
via Orabona 4, 70125 Bari, Italia
e-mail: vincenzo.nardozza@uniba.it

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