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Group actions on relative cluster categories and Higgs categories

math.RT · 2025-02-15 · unverdicted · novelty 6.0

Constructs G-equivariant relative cluster and Higgs categories from group actions on ice quivers with potential and links them via orbit mutations to skew-symmetrizable cluster algebras, yielding an additive categorification for non-simply-laced principal coefficients.

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  • Group actions on relative cluster categories and Higgs categories math.RT · 2025-02-15 · unverdicted · none · ref 32

    Constructs G-equivariant relative cluster and Higgs categories from group actions on ice quivers with potential and links them via orbit mutations to skew-symmetrizable cluster algebras, yielding an additive categorification for non-simply-laced principal coefficients.