Article ID Journal Published Year Pages File Type
5771805 Journal of Algebra 2017 12 Pages PDF
Abstract

We study graded symmetric algebras, which are the symmetric monoids in the monoidal category of vector spaces graded by a group. We show that a finite dimensional graded semisimple algebra is graded symmetric. The center of a symmetric algebra is not necessarily symmetric, but we prove that the center of a finite dimensional graded division algebra is symmetric, provided that the order of the grading group is not divisible by the characteristic of the base field.

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory
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