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Primitive central idempotents of a finite group over a field

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arxiv 2608.03371 v1 pith:J4F2OCGU submitted 2026-08-04 math.RT math.RA

Satyam Shukla , Jagmohan Tanti This is my paper · ORCID
classification math.RTmath.RA
keywords centralfinitegroupidempotentsprimitivealgebraapplicationsapproach
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

We give a method to compute the primitive central idempotents of a semi-simple finite group algebra associated with an irreducible character $\chi$ such that for every $g\in G$, either $\chi(g) = 0$ or all eigenvalues of $\rho(g)$ have the same order. We then show several consequences which highlight the significance and possible applications of our approach.

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