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The geometric classification of Leibniz algebras.

Authors :
Ismailov, Nurlan
Kaygorodov, Ivan
Volkov, Yury
Source :
International Journal of Mathematics; May2018, Vol. 29 Issue 5, pN.PAG-N.PAG, 12p
Publication Year :
2018

Abstract

We describe all rigid algebras and all irreducible components in the variety of four-dimensional Leibniz algebras 𝔏𝔢𝔦𝔟4 over ℂ. In particular, we prove that the Grunewald–O'Halloran conjecture is not valid and the Vergne conjecture is valid for 𝔏𝔢𝔦𝔟4. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
0129167X
Volume :
29
Issue :
5
Database :
Complementary Index
Journal :
International Journal of Mathematics
Publication Type :
Academic Journal
Accession number :
129897449
Full Text :
https://doi.org/10.1142/S0129167X18500350