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arXiv · 2610.08490

The solvable degree of a Schur algebra

Gabriele Nebe·David Schlang
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Abstract

The solvable degree of a Schur algebra $D$ is the greatest common divisor of all integers $n$ such that $D^{n\times n}$ is a direct summand of the rational group algebra $\Q G$ for some finite solvable group $G$. The main result of this paper gives divisibility conditions on the solvable degree depending on the center and the rational primes that divide the discriminant of $D$.

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Gabriele Nebe, David Schlang. 2026-10-06. The solvable degree of a Schur algebra. https://arxiv.org/abs/2610.08490

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