THE ALGEBRAIC AND GEOMETRIC CLASSIFICATION OF NILPOTENT NONCOMMUTATIVE JORDAN ALGEBRAS

Authors

  • Dilfuza Tashpulotova Teacher of "Methodology of preschool and primary education" Shakhrisabz branch of Tashkent State Pedagogical University named after Nizami

Keywords:

noncommutative Jordan algebras,, nilpotent algebras,, algebraic classification

Abstract

We give algebraic and geometric classifications of complex 4-dimensional nilpotent noncommutative Jordan algebras. Specifically, we find that, up to isomorphism, there are only 18 non-isomorphic nontrivial nilpotent noncommutative Jordan algebras. The corresponding geometric variety is determined by the Zariski closure of 3 rigid algebras and 2 one-parametric families of algebras.

 

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Published

2021-03-24

How to Cite

Dilfuza Tashpulotova. (2021). THE ALGEBRAIC AND GEOMETRIC CLASSIFICATION OF NILPOTENT NONCOMMUTATIVE JORDAN ALGEBRAS. Emergent: Journal of Educational Discoveries and Lifelong Learning (EJEDL), 2(03), 5–25. Retrieved from https://ejedl.academiascience.org/index.php/ejedl/article/view/14

Issue

Vol. 2 No. 03 (2021): ejedl.academiascience

Section

Articles