40 citations
- Bar-Ilan UniversityIL4 papers
- Ben-Gurion University of the NegevIL3 papers
- Eastern Kentucky UniversityUS2 papers
- Emory UniversityUS2 papers
- St. Petersburg Department of Steklov Institute of MathematicsRU2 papers
- Technion – Israel Institute of TechnologyIL2 papers
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- Center for Policy AnalysisUS1 paper
- Centro de Investigación y de Estudios Avanzados del Instituto Politécnico NacionalMX1 paper
- Holon Institute of TechnologyIL1 paper
- Institute of Mathematics, Physics, and MechanicsSI1 paper
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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…