18 citations · 23 across the 2 of their papers we have counts for
4 papers
Degree cones and monomial bases of Lie algebras and quantum groups
Teodor Backhaus, Xin Fang, Ghislain Fourier
We provide -filtrations on the negative part of the quantum group associated to a finite-dimensional simple Lie algebra , such that…
The PBW filtration and convex polytopes in type
Teodor Backhaus, Deniz Kus
We study the PBW filtration on irreducible finite--dimensional representations for the Lie algebra of type . We prove in several cases, including all multiples of the adjo…
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…
PBW filtration: Feigin-Fourier-Littelmann modules via Hasse diagrams
Teodor Backhaus, Christian Desczyk
We study the PBW filtration on the irreducible highest weight representations of simple complex finite-dimensional Lie algebras. This filtration is induced by the standard degree f…