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math.RT2018
Following Schubert varieties under Feigin's degeneration of the flag variety
Lara Bossinger, Martina Lanini
We describe the effect of Feigin's flat degeneration of the type flag variety on its Schubert varieties. In particular, we study when they stay irreducible and in seve…
math.RT2016
String cone and Superpotential combinatorics for flag and Schubert varieties in type A
Lara Bossinger, Ghislain Fourier
We study the combinatorics of pseudoline arrangements and their relation to the geometry of flag and Schubert varieties. We associate to each pseudoline arrangement two polyhedral…
math.RT2014
The degree of the Hilbert-Poincaré polynomial of PBW-graded modules
Teodor Backhaus, Lara Bossinger, Christian Desczyk +1
In this note, we study the Hilbert-Poincaré polynomials for the PBW-graded of simple modules for a simple complex Lie algebra. The computation of their degree can be reduced to mod…