The Hall Polynomials for Tame Quiver Algebras

On Ringel-hall Algebras of Tame Hereditary Algebras

Canonical Bases of Singularity Ringel-hall Algebras and Hall Polynomials

In this paper, the singularity Ringel-Hall algebras are defined. A new class of perverse sheaves are shown to have purity property. The canonical bases of singularity RingelHall algebras are constructed. As an application, the existence of Hall polynomials in the tame quiver algebras is proved.

Quiver Schur Algebras for the Linear Quiver I

We define a graded quasi-hereditary covering for the cyclotomic quiver Hecke algebras Rn of type A when e = 0 (the linear quiver) or e ≥ n. We show that these algebras are quasi-hereditary graded cellular algebras by giving explicit homogeneous bases for them. When e = 0 we show that the KLR grading on the quiver Hecke algebras is compatible with the gradings on parabolic category OΛ n previous...

Good bases for tame polynomials

An algorithm to compute a good basis of the Brieskorn lattice of a cohomologically tame polynomial is described. This algorithm is based on the results of C. Sabbah and generalizes the algorithm by A. Douai for convenient Newton non–degenerate polynomials.

The Hall Algebra of a Cyclic Quiver

We show that the generic Hall algebra of nilpotent representations of an oriented cycle specialised at q = 0 is isomorphic to the generic extension monoid in the sense of Reineke. This continues the work of Reineke in [3]. 1. The generic extension monoid and the generic Hall algebra For the following let Q be a finite quiver with vertex set Q0 and arrow set Q1. We consider only finite dimension...