Weak central polynomials for algebras of multiplications of simple algebras

Vesselin Drensky; Mikhail Zaicev

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arXiv · 2609.10362

Weak central polynomials for algebras of multiplications of simple algebras

Vesselin Drensky·Mikhail Zaicev

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Abstract

We give a simple proof for the existence of weak central polynomials for the algebra of multiplications of a finite-dimensional simple (non-associative) algebra. As an example we present explicit weak central polynomials in the cases of the three-dimensional simple Lie algebra and the Jordan algebra of the two-dimensional vector space with non-degenerate symmetric bilinear form.

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Vesselin Drensky, Mikhail Zaicev. 2026-09-09. Weak central polynomials for algebras of multiplications of simple algebras. https://arxiv.org/abs/2609.10362

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