Ext algebra of Nichols algebras of type $A_2$

Details Ext algebra of Nichols algebras of type $A_2$ Ext algebra of Nichols algebras of type $A_2$

2011-07-22

arxiv.org/abs/1107.4437v1

Mathematics

Quantum Algebra

28 pages

Scientific paper

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.

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