Graded Lie Algebras of Maximal Class II

TL;DR

This paper classifies infinite-dimensional graded Lie algebras of maximal class generated by weight one elements over fields of odd characteristic, expanding understanding of their structure and isomorphism classes.

Contribution

It provides a complete description of the isomorphism classes of such Lie algebras, a significant step in their classification.

Findings

Classification of infinite-dimensional graded Lie algebras of maximal class

Identification of isomorphism classes over fields of odd characteristic

Clarification of algebraic structures generated by weight one elements

Abstract

We describe the isomorphism classes of infinite-dimensional graded Lie algebras of maximal class, generated by elements of weight one, over fields of odd characteristic.