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The Green Rings of Taft algebras

Representation Theory 2012-10-17 v3 Quantum Algebra

Abstract

We compute the Green ring of the Taft algebra Hn(q)H_n(q), where nn is a positive integer greater than 1, and qq is an nn-th root of unity. It turns out that the Green ring r(Hn(q))r(H_n(q)) of the Taft algebra Hn(q)H_n(q) is a commutative ring generated by two elements subject to certain relations defined recursively. Concrete examples for n=2,3,...,8n=2,3,..., 8 are given.

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Cite

@article{arxiv.1111.1837,
  title  = {The Green Rings of Taft algebras},
  author = {Huixiang Chen and Fred Van Oystaeyen and Yinhuo Zhang},
  journal= {arXiv preprint arXiv:1111.1837},
  year   = {2012}
}

Comments

To appear in Proc. AMS