Contractions with necessarily unbounded matrices

Abstract

We prove that for each dimension not less than five there exists a contraction between solvable Lie algebras that can be realized only with matrices whose Euclidean norms necessarily approach infinity at the limit value of contraction parameter. Therefore, dimension five is the lowest dimension of Lie algebras between which contractions of the above kind exist.

8 pages

References in corpus (3)

• Contractions of Low-Dimensional Lie Algebras
• Lowest dimensional example on non-universality of generalized Inönü-Wigner contractions
• Equivalence of diagonal contractions to generalized IW-contractions with integer exponents