Ext algebra of Nichols algebras of type $A_2$
Abstract
We give the full structure of the Ext algebra of a Nichols algebra of type $A_2$ by using the Hochschild-Serre spectral sequence. As an application, we show that the pointed Hopf algebras $u(\mathcal{D}, \lmd, \mu)$ with Dynkin diagrams of type $A$, $D$, or $E$, except for $A_1$ and $A_1\times A_1$ with the order $N_{J}>2$ for at least one component $J$, are wild.
- Publication:
-
arXiv e-prints
- Pub Date:
- July 2011
- DOI:
- 10.48550/arXiv.1107.4437
- arXiv:
- arXiv:1107.4437
- Bibcode:
- 2011arXiv1107.4437Y
- Keywords:
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- Mathematics - Quantum Algebra;
- 16E40;
- 16W30
- E-Print:
- 28 pages