DEGREE CONES AND MONOMIAL BASES OF LIE ALGEBRAS AND QUANTUM GROUPS
DEGREE CONES AND MONOMIAL BASES OF LIE ALGEBRAS AND QUANTUM GROUPS
Abstract We provide 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 the associated graded algebra is a skew-polynomial algebra on $\mathfrak{n}$ − . The filtration is obtained by assigning degrees to Lusztig's …