Author

S. Palcoux

3 papers indexed here

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Preprint Sep 2026

Local Ocneanu rigidity for separable algebra objects

We establish local Ocneanu rigidity for separable algebra objects in Hom-finite monoidal categories C over an algebraically closed field k. A separability morphism contracts the first two Hochschild cohomology groups without requiring an abelian ambient category. Separable algebra structures and homomorphisms from sepa...

T. Azzouz, Mainak Ghosh, S. Palcoux · 1 citation · ⚡1

Preprint Oct 2026

Triangular prism equations for near-group categories: algebraic solutions and a unitary conjecture

We derive the triangular prism equations (TPE) for near-group fusion rules of type $G+|G|$, where $G$ is a finite abelian group. We prove that spherical categorification with trivial Frobenius--Schur indicator over any field in which $|G|$ is invertible is equivalent to the solvability of the TPE system. For every cycl...

Hui-Xuan He, Zheng-Wei Liu, Fan Lu et al. · 0 citations

Preprint Sep 2026

Sharp bounds for intervals in finite subgroup lattices

Let H be a subgroup of a finite group G, and put n = [G:H]>1. If p is the least prime divisor of n, we prove that the number of subgroups K with H<= K<= G is less than c(p) n^((log_p n)/4). Here c(p) is the product of (1 - p^(-j))^(-1) over all positive integers j, multiplied by the sum of p^(-z^2) over all integers z....

S. Palcoux, Pablo Spiga · 1 citation