For a symmetric pair (g, θ), the original Inönü-Wigner contraction and its dual appear as real fibers of a single algebraic family of complex Lie algebras equipped with an anti-holomorphic involution.
Contractions of representations and algebraic families of Harish-Chandra modules
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Dual contractions and algebraic families
For a symmetric pair (g, θ), the original Inönü-Wigner contraction and its dual appear as real fibers of a single algebraic family of complex Lie algebras equipped with an anti-holomorphic involution.