Classification of quasi-affine Generalized Dynkin Diagrams with Rank $ 5$

TL;DR

This paper classifies all quasi-affine generalized Dynkin diagrams and Nichols algebras of rank 5, providing a comprehensive understanding of their structure and properties.

Contribution

It presents a complete classification of quasi-affine generalized Dynkin diagrams and Nichols algebras of rank 5, which was previously unknown.

Findings

All quasi-affine connected generalized Dynkin diagrams of rank 5 identified.

All quasi-affine Nichols (Lie braided) algebras of rank 5 characterized.

The classification aids in understanding the structure of these algebraic objects.

Abstract

All quasi-affine connected Generalized Dynkin Diagram with rank $= 5$ are found. All quasi-affine Nichols (Lie braided) algebras with rank $ 5$ are also found.