Degree cones and monomial bases of Lie algebras and quantum groups

Teodor Backhaus, Xin Fang, Ghislain Fourier

We provide $\mathbb{N}$-filtrations on the negative part $U_q({\mathfrak{n}}^{-})$ of the quantum group associated to a finite-dimensional simple Lie algebra $\mathfrak{g}$, such that…