Cyclotomic quiver Hecke algebras corresponding to minuscule representations

TL;DR

This paper provides an explicit basis for cyclotomic quiver Hecke algebras associated with minuscule representations of finite type, advancing understanding of their algebraic structure.

Contribution

It introduces an explicit basis for these algebras, a novel contribution to the algebraic theory of quiver Hecke algebras.

Findings

Explicit basis constructed for cyclotomic quiver Hecke algebras

Enhanced understanding of algebraic structure of these algebras

Potential applications in categorification and representation theory

Abstract

In the paper, we give an explicit basis of the cyclotomic quiver Hecke algebra corresponding to a minuscule representation of finite type.