English

Ext algebra of Nichols algebras of type $A_2$

Quantum Algebra 2011-07-25 v1

Abstract

We give the full structure of the Ext algebra of a Nichols algebra of type A2A_2 by using the Hochschild-Serre spectral sequence. As an application, we show that the pointed Hopf algebras u(D,\lmd,μ)u(\mathcal{D}, \lmd, \mu) with Dynkin diagrams of type AA, DD, or EE, except for A1A_1 and A1×A1A_1\times A_1 with the order NJ>2N_{J}>2 for at least one component JJ, are wild.

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Cite

@article{arxiv.1107.4437,
  title  = {Ext algebra of Nichols algebras of type $A_2$},
  author = {Xiaolan Yu and Yinhuo Zhang},
  journal= {arXiv preprint arXiv:1107.4437},
  year   = {2011}
}

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28 pages