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Quantum groups and double quiver algebras

Hua-Lin Huang·Shilin Yang
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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 $k\bar{\cal Q}.$

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Hua-Lin Huang, Shilin Yang. 2005-04-24. Quantum groups and double quiver algebras. https://doi.org/10.1007/s11005-004-5925-4

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