Quantum groups and double quiver algebras

Hua-Lin Huang; Shilin Yang

doi:10.1007/s11005-004-5925-4

Quantum groups and double quiver algebras

量子代数 2009-11-11 v1 表示论

作者: Hua-Lin Huang , Shilin Yang

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摘要

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 $k\bar{\cal Q}.$

关键词

quantum groups quantum group representations lie algebras

引用

@article{arxiv.math/0504493,
  title  = {Quantum groups and double quiver algebras},
  author = {Hua-Lin Huang and Shilin Yang},
  journal= {arXiv preprint arXiv:math/0504493},
  year   = {2009}
}

备注

15 pages

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