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
Abstract:
We present an example of a contraction between fivedimensional
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.
