Symmetry and Integrability of Equations of Mathematical Physics − 2013

Dmytro Popovych (National Taras Shevchenko University of Kyiv, Ukraine)

Lowest dimensional example of contraction with necessarily singular matrix components

We present an example of a contraction between five-dimensional Lie algebras that are realized only with matrices whose Euclidean norms necessarily approach infinity at the limit value of contraction parameter. Dimension five is the lowest dimension of Lie algebras between which contractions of the above kind exist.