2 papers
nlin.SI2026
The KdV vacuum operator and its Katz extension
Martin T. Luu
We define a connection on the formal disc that can be used to single out the vacuum of the Drinfeld-Sokolov KdV hierarchy associated to a simple complex finite-dimensional Lie alge…
math.RT2025
Kirillov polynomials for the exceptional Lie algebra
Martin T. Luu
As part of the development of the orbit method, Kirillov has counted the number of strictly upper triangular matrices with coefficients in a finite field of elements and fixed…