A Note on Cyclic Gradients
classification
🧮 math.RA
math.OA
keywords
cyclicgradientnoncommutativeconditionsconnectionsexplainedfreegiven
read the original abstract
Simple necessary and sufficient conditions for a $n$-tuple of noncommutative polynomials to be a cyclic gradient are given and similarly for a noncommutative polynomial to have a vanishing cyclic gradient. Connections with free probability are explained.
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