Witt type realizations of 2-D Cayley-Klein algebras with non-zero curvatures
Abstract
Abstract The article presents various Witt type vector field realizations of 2-D Cayley-Klein algebras with non-vanishing curvatures. The expressions of the vector fields involve Jacobi elliptic functions whose moduli are directly related to the parameters that appear in the corresponding matrix representation obtained from a bi-orthogonal set of vectors. First, the realizations are obtained with the values of the moduli lying in the unit interval (0, 1). The parameter of bi-orthogonality plays a crucial role in this context. Later, with the help of modular transformation, realizations involving arbitrary moduli have been obtained.
Fields of Study & Subjects
Algebraic and Geometric Analysis
Nonlinear Waves and Solitons
Algebraic structures and combinatorial models
Publication details
- Journal / source
- Physica Scripta
- Publisher
- IOP Publishing
- Volume
- 101
- Issue
- 20
- Pages
- 205201–205201
- Publication date
- 5 May 2026