Polynomial identities for matrices over the Grassmann algebra

DOI10.1007/s11856-017-1533-8zbMath1378.15017arXiv1511.05540OpenAlexW2963932322MaRDI QIDQ2408028

Péter E. Frenkel

Publication date: 9 October 2017

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1511.05540

zbMATH Keywords

Cayley-Hamilton theoremexterior algebramatrix ringmatrix identitiesAmitsur-Levitzki theoremCapelli identitiesGrassman algebra

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) Matrix equations and identities (15A24) Exterior algebra, Grassmann algebras (15A75)

Related Items (1)

The minimal degree standard identity on \(M_nE^2\) and \(M_nE^3\)

Cites Work

• Unnamed Item
• Matrix representations of finitely generated Grassmann algebras and some consequences.
• Eulerian polynomial identities and algebras satisfying a standard identity
• Minimal Identities for Algebras

This page was built for publication: Polynomial identities for matrices over the Grassmann algebra