vix.ing · top · new · best · stats · spec

The Casimir Invariants of Universal Lie algebra extensions via commutative structures

2001/08/23 by A B Yanovski, A.B. Yanovski, Yanovski, A B
Mathematics · Physics and Astronomy · #17B80 (Secondary) #37K30 (Primary) 37K05 #Advanced Topics in Algebra #Algebraic structures and combinatorial models #Dynamical Systems (math.DS) #FOS: Mathematics #Nonlinear Waves and Solitons #Rings and Algebras (math.RA) #math.DS #math.RA #msc:17B80 #msc:37K05 #msc:37K30

paper · pdf · doi:10.48550/arxiv.math/0108161

LaTex, no figures

arxiv created 2001/08/23 · openalex publication_date 2001/08/23 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We consider the Casimir Invariants related to some a special kind of Lie-algebra extensions, called universal extensions. We show that these invariants can be studied using the equivalence between the universal extensions and the commutative algebras and consider in detail the so called coextension structures, arising in the calculation of the Casimir functions.

Citations

Related