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Middle convolution for Lie algebra representations

math.RT · 2026-05-11 · unverdicted · novelty 6.0

This paper introduces a Lie algebra analogue of the middle convolution functor on modules over free, Drinfeld-Kohno, and holonomy Lie algebras, shows it generalizes prior constructions, and establishes a Riemann-Hilbert correspondence for holonomy Lie algebras.

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  • Middle convolution for Lie algebra representations math.RT · 2026-05-11 · unverdicted · none · ref 8

    This paper introduces a Lie algebra analogue of the middle convolution functor on modules over free, Drinfeld-Kohno, and holonomy Lie algebras, shows it generalizes prior constructions, and establishes a Riemann-Hilbert correspondence for holonomy Lie algebras.