Towers with skeletons for the (2+1)-dimensional continuous isotropic Heisenberg spin model

Abstract

We associate a tower with an infinitesimal algebraic skeleton to the (2+1)-dimensional (compact and noncompact) Heisenberg spin model. In particular, we construct the absolute parallelism defining the tower and the corresponding extension of the adjoint Lie algebra representation defining its skeleton.

8 pages; slight changes

References in corpus (4)

• The Fascinating World of Landau-Lifshitz-Gilbert Equation: An Overview
• Nonintegrability of (2+1)-dimensional continuum isotropic Heisenberg spin system: Painlevé analysis
• Variationally equivalent problems and variations of Noether currents
• Infinitesimal algebraic skeletons for a (2+1)-dimensional Toda type system

Cited by in corpus (1)

• Particle-like, dyx-coaxial and trix-coaxial Lie algebra structures for a multi-dimensional continuous Toda type system