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Derivations of the Positive Part of the Two-parameter Quantum Group of type $G_2$

Quantum Algebra 2020-03-16 v1 Rings and Algebras

Abstract

In this paper, we compute the derivations of the positive part of the two-parameter quantum group of type G2G_2 by embedding it into a quantum torus. We also show that the Hochschild cohomology group of degree 11 of this algebra is a two dimensional vector space over the complex field.

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Cite

@article{arxiv.2003.06078,
  title  = {Derivations of the Positive Part of the Two-parameter Quantum Group of type $G_2$},
  author = {Yongyue Zhong and Xiaomin Tang},
  journal= {arXiv preprint arXiv:2003.06078},
  year   = {2020}
}

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14 pages