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Quantum Groups and Double Quiver Algebras

Authors:	Email author" target="_blank">Hua-Lin?Huang Email author Email author" target="_blank">Shilin?Yang Email author

Institution:	(1) Department of Mathematics, University of Science and Technology of China, Hefei, 230026, Anhui, P.R. China;(2) Mathematics Section, The Abdus Salam International Centre for Theoretical Physics, Strada Costiera 11, 34100 Trieste, Italy;(3) College of Applied Sciences, Beijing University of Technology, Beijing, 100022, P.R. China

Abstract:	For a finite dimensional semisimple Lie algebra $\cal{g}$ and a root q of unity in a field k, we associate to these data a double quiver $\overline{\cal{Q}}$ . It is shown that a restricted version of the quantized enveloping algebras $U_{q}(\cal{g})$ is a quotient of the double quiver algebra $k\overline{\cal{Q}}$ .*The author is partially supported by the National Science Foundation of China (Grant. 10271014) and Natural Science Foundation of Beijing City (grant. 1042001)

Keywords:	quantum group double quiver algebra
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