Showing math.RTShow all
3 papers · 1 filter
math.RT2024
Linear degenerate symplectic flag varieties: symmetric degenerations and PBW locus
Magdalena Boos, Giovanni Cerulli Irelli, Xin Fang +1
We conceptualize in the paper the linear degenerate symplectic flag varieties as symmetric degenerations within the framework of type equioriented quivers. First, in the larger…
math.RT2024
Dynkin abelianisations of flag varieties
Shreepranav Varma Enugandla, Xin Fang, Ghislain Fourier +1
Cerulli Irelli and Lanini have shown that PBW degenerations of flag varieties in type A and C are actually Schubert varieties of higher rank. We introduce Dynkin cones to parameter…
math.RT2024
Computing monomial bases in Lie theory using OSCAR
Xin Fang, Ghislain Fourier, Lars Göttgens +1
In this survey, we present a detailed guide on using the computer algebra system OSCAR to compute monomial bases for simple, finite-dimensional modules of simple, complex Lie algeb…