# Quantum groups and double quiver algebras

Research paper by Hua-Lin Huang, Shilin Yang

Indexed on: 24 Apr '05Published on: 24 Apr '05Published in: Mathematics - Quantum Algebra

#### Abstract

For a finite dimensional semisimple Lie algebra ${\frak{g}}$ and a root $q$ of unity in a field $k,$ we associate to these data a double quiver $\bar{\cal{Q}}.$ It is shown that a restricted version of the quantized enveloping algebras $U_q(\frak g)$ is a quotient of the double quiver algebra $k\bar{\cal Q}.$