Valya algebra
id:
valya-algebra-280-2712288
title:
Valya algebra
text:
In abstract algebra, a Valya algebra is a nonassociative algebra M over a field F whose multiplicative binary operation g satisfies the following axioms: 1. The skew-symmetry condition for all A , B ∈ M . 2. The Valya identity for all A k ∈ M , where k=1,2,...,6, and J := g + g + g . 3. The bilinear condition for all A , B , C ∈ M and a , b ∈ F . We say that M is a Valya algebra if the commutant of this algebra is a Lie subalgebra. Each Lie algebra is a Valya algebra. There is the following rela
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https://en.wikipedia.org/wiki/Valya_algebra
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date modified:
2023-03-20T15:08:06Z
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{"identifier":"Q4060642","url":"https://www.wikidata.org/entity/Q4060642"}
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