Ext algebra of Nichols algebras of type $A_2$
Xiaolan Yu, Yinhuo Zhang

TL;DR
This paper determines the full Ext algebra structure of Nichols algebras of type A2 using spectral sequences and applies this to classify the complexity of related pointed Hopf algebras, showing many are wild.
Contribution
It provides the complete Ext algebra structure for Nichols algebras of type A2 and demonstrates the wildness of certain pointed Hopf algebras with specific Dynkin diagrams.
Findings
Full Ext algebra structure of type A2 Nichols algebra obtained
Most pointed Hopf algebras with certain Dynkin types are shown to be wild
Application of Hochschild-Serre spectral sequence in algebraic structure analysis
Abstract
We give the full structure of the Ext algebra of a Nichols algebra of type by using the Hochschild-Serre spectral sequence. As an application, we show that the pointed Hopf algebras with Dynkin diagrams of type , , or , except for and with the order for at least one component , are wild.
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Taxonomy
TopicsAlgebraic structures and combinatorial models · Advanced Topics in Algebra · Nonlinear Waves and Solitons
