Twisted tensor products of K^n with K^m
classification
🧮 math.RA
keywords
algebrasfamiliesmapstwistingcasesconsistsconstructdeformations
read the original abstract
We find three families of twisting maps of K^m with K^n. One of them is related to truncated quiver algebras, the second one consists of deformations of the first and the third one requires m=n and yields algebras isomorphic to M_n(K). Using these families and some exceptional cases we construct all twisting maps of K^3 with K^3.
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