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math.RT2026

Invariant Algebraic Connections on Connected Reductive Groups

Rudrendra Kashyap, Ruoxi Li

Let be a connected complex reductive algebraic group. We study finite-rank flat algebraic connections on trivial vector bundles whose connection forms are left invariant, allow…

math.RT2025

Weyl-invariant subspaces are (usually) not generic

Riku Kurama, Ruoxi Li, Henry Talbott +1

Let be a linear representation of a connected complex reductive group . Given a choice of character of , Geometric Invariant Theory defines a locus $V^{ss}_θ(G) \su…