Doyon Kim

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20242026

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math.RT2025

Component groups for non-supercuspidal $L$ -parameters for $p$ -adic $SL_{3}$

Kwangho Choiy, Doyon Kim, Razan Taha +1

We explicitly classify all the component groups associated to the non-supercuspidal, tempered $L$ -parameters of $SL_{3} (F)$ for a $p$ -adic field $F$ of characteristic $0$ by…

math.RT2025

Schubert cells and Whittaker functionals for $GL (n, R)$ part II: Existence via integration by parts

Doyon Kim

We give a new proof of the existence of Whittaker functionals for principal series representation of $GL (n, R)$ , utilizing the analytic theory of distributions. We r…

math.RT2024

Schubert cells and Whittaker functionals for $GL (n, R)$ part I: Combinatorics

Doyon Kim

We give a formula for a birational map on the Schubert cell associated to each Weyl group element of $G = GL (n)$ . The map simplifies the UDL decomposition of matrices, providi…

Component groups for non-supercuspidal L-parameters for p-adic SL3​

Schubert cells and Whittaker functionals for GL(n,R) part II: Existence via integration by parts

Schubert cells and Whittaker functionals for GL(n,R) part I: Combinatorics

Component groups for non-supercuspidal $L$ -parameters for $p$ -adic $SL_{3}$

Schubert cells and Whittaker functionals for $GL (n, R)$ part II: Existence via integration by parts

Schubert cells and Whittaker functionals for $GL (n, R)$ part I: Combinatorics