Joshua Kiers

collaborators

2 papers

math.RT2026

Reduction rules for Demazure modules

Marc Besson, Sam Jeralds, Joshua Kiers

For $G$ a complex reductive group and $B \subseteq G$ a Borel subgroup, we provide a reduction rule for certain weight multiplicities in Demazure modules $V_{I^} »^{w}$ : given a weight $…

math.RT2025

Geometric invariant theory and stretched Kostka quasi-polynomials

Marc Besson, Sam Jeralds, Joshua Kiers

For $G$ a semisimple, simply-connected complex algebraic group and two dominant integral weights $I^», I^¼$ , we consider the dimensions of weight spaces $V_{I^} » (I^¼)$ of weight $I^¼$ in…