2,184 research outputs found
The recognition problem for table algebras and reality-based algebras
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 structure constants, and ask if the RBA admits a
positive degree map. For RBAs that have a positive degree map, we try to find
an RBA-basis with nonnegative structure constants to determine if there is a
generalized table algebra structure. We settle these questions for the algebras
, .Comment: 16 page
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