Depolarization and distributive laws

Fuente: arXiv
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Autore principale: Remm, Elisabeth
Natura: Preprint
Pubblicazione: 2024
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author Remm, Elisabeth
author_facet Remm, Elisabeth
contents Given a vector space with two multiplications, one commutative the other anticommutative, possibly connected by a distributive law, the depolarization principle allows to look at this triplet through a single nonassociative multiplication. This is the case of Poisson algebras. We are interested here in the cases of transposed Poisson algebras and we show in this case that depolarization cannot be done with a single multiplication. We also examine the depolarization for Hom-Lie algebras.
format Preprint
id arxiv_https___arxiv_org_abs_2404_01937
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Depolarization and distributive laws
Remm, Elisabeth
Rings and Algebras
17Dxx
Given a vector space with two multiplications, one commutative the other anticommutative, possibly connected by a distributive law, the depolarization principle allows to look at this triplet through a single nonassociative multiplication. This is the case of Poisson algebras. We are interested here in the cases of transposed Poisson algebras and we show in this case that depolarization cannot be done with a single multiplication. We also examine the depolarization for Hom-Lie algebras.
title Depolarization and distributive laws
topic Rings and Algebras
17Dxx
url https://arxiv.org/abs/2404.01937