Syu Kato

activity

20242026

collaborators

Showing math.RTShow all

4 papers · 1 filter

math.RT2025

Categorification of $k$ -Schur functions and refined Macdonald positivity

Syu Kato

We characterize the $k$ -Schur functions as the graded characters of simple objects in an additive module category. This confirms a set of conjectures formulated in the Ph.D. thesis…

math.RT2025

Higher level BGG reciprocity for current algebras

Syu Kato

We exhibit a higher-level analogue of the Bernstein-Gelfand-Gelfand (BGG) reciprocity for twisted current algebras for each positive integer, which recovers the original one (estab…

math.RT2024

Categorification of DAHA and Macdonald polynomials

Syu Kato, Anton Khoroshkin, Ievgen Makedonskyi

We describe a categorification of the Double Affine Hecke Algebra ( $H H$ ) associated with an affine Lie algebra $g$ , including…

math.RT2024

Kostka polynomials of $G (ℓ, 1, m)$

Syu Kato

For each integers $ℓ > 1$ and $n \geq m \geq 1$ , we prove an equivalence between the category of polynomial modules over a paraholic subalgebra $p$ of an affine Lie alge…

Categorification of k-Schur functions and refined Macdonald positivity

Higher level BGG reciprocity for current algebras

Categorification of DAHA and Macdonald polynomials

Kostka polynomials of G(ℓ,1,m)

Categorification of $k$ -Schur functions and refined Macdonald positivity

Kostka polynomials of $G (ℓ, 1, m)$