The geometric classification of nilpotent algebras

• Type: Article in International Scientific Journal
• Date: 2023

Authors

Kaygorodov, I (Author) Other; Khrypchenko, M (Author) Other; Samuel A Lopes (Author) FCUP

Journal

Title: Journal of Algebra

Vol. 633

Pages: 857-886

ISSN: 0021-8693

Publisher: Elsevier

Indexing

ISI Web of Knowledge - 1 Citation

Scopus

Other information

Authenticus ID: P-00Y-NF6

DOI: 10.1016/j.jalgebra.2023.04.028

Abstract (EN): We give a geometric classification of n-dimensional nilpotent, commutative nilpotent and anticommutative nilpotent al-gebras. We prove that the corresponding geometric varieties are irreducible, find their dimensions and describe explicit generic families of algebras which define each of these varieties. We show some applications of these results in the study of the length of anticommutative algebras. & COPY; 2023 The Author(s). Published by Elsevier Inc. This is an open access article under the CC BY license (http:// creativecommons .org /licenses /by /4 .0/).

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 30