Abstract We construct an abelian category C and exact functors in C which on the Grothendieck group descend to the action of a simply laced quantum group in its adjoint representation. The braid… Expand

The adjoint representation of a simple Lie algebra g admits a deformation into an irreducible representation R of the quantum group Uq(g). In this paper for a simply-laced g we realize R as the… Expand

For each 0 ≤ C ≥ 0, |f (z) ≤ Ae C | z | p for all z in c. If || f || C, p is the minimun of such constants A, || || c,p is a Banach space norm on EC,p. Let 0 C

Author(s): Huerfano, Ruth Stella; Khovanov, Mikhail | Abstract: We categorify representations of quantum sl(n) whose highest weight is twice a fundamental weight.

Abstract
We show that the connection responsible for any Abelian or non-Abelian Aharonov–Bohm effect with n parallel “magnetic” flux lines in ℝ3, lies in a trivial G-principal bundle P→M, i.e. P is… Expand

We show that the connection responsible for any abelian or non abelian Aharonov-Bohm effect with n parallel " magnetic " flux lines in R 3 , lies in a trivial G-principal bundle P → M , i.e. P is… Expand

The adjoint representation of a simple Lie algebra g admits a deformation into an irreducible representation R of the quantum group Uq(g). In this paper for a simply-laced g we realize R as the… Expand