On nilpotent evolution algebras
Rings and Algebras
2017-11-27 v2
Abstract
The type and several invariant subspaces related to the upper annihilating series of finite-dimensional nilpotent evolution algebras are introduced. These invariants can be easily computed from any natural basis. Some families of nilpotent evolution algebras, defined in terms of a nondegenerate symmetric bilinear form and some commuting symmetric diagonalizable endomorphisms relative to the form, are explicitly constructed. Both the invariants and these families are used to review and complete the classification of nilpotent evolution algebras up to dimension five over algebraically closed fields.
Cite
@article{arxiv.1602.01590,
title = {On nilpotent evolution algebras},
author = {Alberto Elduque and Alicia Labra},
journal= {arXiv preprint arXiv:1602.01590},
year = {2017}
}
Comments
19 pages