Journal of Generalized Lie Theory and Applications

Department of Psychology, The Chinese University of Hong Kong, Shatin, N.T., Hong Kong

Publications

• Review   
  Automorphic Lie Algebras in Higher Dimensions
  Author(s): Him Cheung*
  
  The study offers the entire classification of automorphic Lie algebras based on sln(C), where sln(C) contains no trivial summands, the poles are in any of the exceptional G-orbits in C and the symmetry group G acts on sln(C) through inner automorphisms. The analysis of the algebras within the framework of traditional invariant theory is a crucial aspect of the categorization. This offers both a strong computational tool and raises new concerns from an algebraic standpoint (such as structure theory) that indicate to other uses for these algebras outside of the realm of integrable systems. The study demonstrates, in particular, that the class of automorphic Lie algebras connected to TOY groups (tetrahedral, octahedral and icosahedral groups) depend solely on the automorphic functions of the group, making them group independent Lie algebras. This may be proven by .. Read More»
  DOI: 10.37421/1736-4337.2022.16.348

  Abstract HTML PDF