covariant representations 1lattice polytopes 1lie superalgebras 1pbw filtration 1toric degenerations 1
From the 1 of 3 linked papers with an AI index.
3 papers
math.RT2026
FFLV bases for covariant representations of
Ibrahim Ahmad, Pranav Enugandla
The paper investigates the PBW filtration on covariant representations of the Lie superalgebra gl(m|n) and constructs a lattice polytope whose lattice points index a basis of the a…
math.AG2025
Flat degenerations of flag supermanifolds for basic Lie superalgebras
Ibrahim Ahmad
Motivated by bases of representations compatible with the PBW filtration for basic Lie superalgebras by Kus and Fourier, we generalise the construction of degenerations of flag var…
math.CO2025
Order and chain polytopes of maximal ranked posets
Ibrahim Ahmad, Ghislain Fourier, Michael Joswig
The order and chain polytopes, introduced by Richard P. Stanley, form a pair of Ehrhart equivalent polytopes associated to a given finite poset. A conjecture by Takayuki Hibi and N…