Equivalence of diagonal contractions to generalized IW-contractions with integer exponents

Abstract

We present a simple and rigorous proof of the claim by Weimar-Woods [Rev. Math. Phys. 12 (2000) 1505-1529] that any diagonal contraction (e.g., a generalized Inönü-Wigner contraction) is equivalent to a generalized Inönü-Wigner contraction with integer parameter powers.

9 pages, extended version

References in corpus (3)

• Contractions of Low-Dimensional Lie Algebras
• Graded contractions of the Pauli graded sl(3,C)
• Lowest dimensional example on non-universality of generalized Inönü-Wigner contractions

Cited by in corpus (3)

• Lowest dimensional example on non-universality of generalized Inönü-Wigner contractions
• Contractions with necessarily unbounded matrices
• Canonical forms for matrices of Saletan contractions