Diffeomorphism Algebra Structure and Membrane Theory

TL;DR

This paper computes explicit structure constants for specific Lie algebras of vector fields on 2D compact manifolds, advancing understanding of their algebraic structure in the context of membrane theory.

Contribution

It provides explicit calculations of structure constants for Lie algebras of vector fields on 2D manifolds, which is a novel contribution to the mathematical foundation of membrane theory.

Findings

Explicit structure constants for certain Lie algebras of vector fields.

Enhanced understanding of algebraic structures relevant to membrane theory.

Mathematical tools for further research in geometric and theoretical physics.

Abstract

Explicit structure constants are calculated for certain Lie algebras of vectorfields on 2-dimensional compact manifolds.