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math.RA2016★ 4 cited
Noncommutative reality-based algebras of rank 6
Allen Herman, Mikhael Muzychuk, Bangteng Xu
We classify the RBA-bases of -dimensional noncommutative semisimple algebras for which the algebra has a positive degree map. We show that these RBAs are parametrized by seven r…
math.RA2015
The recognition problem for table algebras and reality-based algebras
Allen Herman, Mikhael Muzychuk, Bangteng Xu
Given a finite-dimensional noncommutative semisimple algebra with involution, we show that always has an RBA-basis. We look for an RBA-basis that has integral or rational s…