Waring problems across algebra
Matej Bre\v{s}ar, Consuelo Mart\' inez
TL;DR
This paper surveys Waring type problems across different algebraic structures, providing an overview of current research and open questions in the field.
Contribution
It offers a comprehensive survey of Waring problems in groups, Lie algebras, and associative algebras, highlighting recent developments and unresolved issues.
Findings
Summarizes key results in algebraic Waring problems
Identifies open questions and research directions
Connects problems across different algebraic structures
Abstract
The paper surveys various Waring type problems in groups, Lie algebras, and associative algebras.
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Taxonomy
TopicsTensor decomposition and applications · Finite Group Theory Research · Matrix Theory and Algorithms