On formal codegrees of fusion categories
Victor Ostrik

TL;DR
This paper establishes a general result showing that the dimensions of fusion categories generate Galois-invariant ideals in the ring of algebraic integers, linking algebraic number theory with fusion category theory.
Contribution
It introduces a new theoretical framework connecting the dimensions of fusion categories with Galois invariance in algebraic integers.
Findings
Global and Frobenius-Perron dimensions generate Galois-invariant ideals
Provides a unifying algebraic number theory perspective on fusion categories
Establishes foundational results with potential applications in classification
Abstract
We prove a general result which implies that the global and Frobenius-Perron dimensions of a fusion category generate Galois invariant ideals in the ring of algebraic integers.
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Taxonomy
TopicsAlgebraic structures and combinatorial models · Advanced Topics in Algebra · Homotopy and Cohomology in Algebraic Topology
