Rudrendra Kashyap

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math.RT2026

$q$ -Oper Structures on a Formal Punctured Disc

Rudrendra Kashyap, Rahul Singh

Let $G$ be a connected reductive complex algebraic group and let $q \in C^{\times}$ be not a root of unity. We prove that every $(G, q)$ -connection on a formal punctured disc…

math.RT2026

Invariant Algebraic Connections on Connected Reductive Groups

Rudrendra Kashyap, Ruoxi Li

Let $G$ 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…

q-Oper Structures on a Formal Punctured Disc

Invariant Algebraic Connections on Connected Reductive Groups

$q$ -Oper Structures on a Formal Punctured Disc