On contact brackets on the tensor product
Pasha Zusmanovich
TL;DR
This paper investigates how contact brackets behave on the tensor product of two algebras, focusing on extending brackets from individual factors to the combined structure, addressing a specific open question.
Contribution
It provides new insights into extending contact brackets on tensor products, answering a question posed by Martínez and Zelmanov.
Findings
Conditions for extending contact brackets established
Extension criteria depend on properties of individual brackets
Results contribute to understanding algebraic structures with contact brackets
Abstract
We study the behavior of contact brackets on the tensor product of two algebras, in particular, address the question of Mart\'inez and Zelmanov about extension of a contact bracket on the tensor product from the brackets on the factors.
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