Jae-Hoon Kwon

activity

20242026

collaborators

3 papers

math.RT2026

Infinite-level Fock spaces, crystal bases, and tensor product of extremal weight modules of type $A_{+ \infty}$

Jae-Hoon Kwon, Soo-Hong Lee

We study the category $C$ generated by extremal weight modules over $U_{q} (gl_{> 0})$ . We show that $C$ is a tensor category, and give an explicit descr…

math.RT2025

$q$ -deformed Howe duality for orthosymplectic Lie superalgebras

Jeong Bae, Jae-Hoon Kwon

We give a $q$ -analogue of Howe duality associated to a pair $(\mf{g},G)$, where $\mf{g}$ is an orthosymplectic Lie superalgebra and $G = O_{ℓ}, S p_{2 ℓ}$ . We define explicitly {co…

math.NT2024

Generation of cyclotomic Hecke fields by $L$ -values of cusp forms on $GL (2)$ with certain $Z_{p}$ twist

Jaesung Kwon

Let $F$ be a number field, $f$ an algebraic automorphic newform on $GL (2)$ over $F$ , $p$ an odd prime does not divide the class number of $F$ and the level of $f$ . We prov…

Infinite-level Fock spaces, crystal bases, and tensor product of extremal weight modules of type A+∞​

q-deformed Howe duality for orthosymplectic Lie superalgebras

Generation of cyclotomic Hecke fields by L-values of cusp forms on GL(2) with certain Zp​ twist

Infinite-level Fock spaces, crystal bases, and tensor product of extremal weight modules of type $A_{+ \infty}$

$q$ -deformed Howe duality for orthosymplectic Lie superalgebras

Generation of cyclotomic Hecke fields by $L$ -values of cusp forms on $GL (2)$ with certain $Z_{p}$ twist