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arXiv · 2608.03371

Primitive central idempotents of a finite group over a field

Satyam Shukla·Jagmohan Tanti
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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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Satyam Shukla, Jagmohan Tanti. 2026-08-04. Primitive central idempotents of a finite group over a field. https://arxiv.org/abs/2608.03371

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