RT Journal Article T1 The method of virtual copies and contractions of simple Lie algebras A1 Campoamor Stursberg, Otto-Rudwig AB Contractions of simple Lie algebras onto semidirect sums are analyzed in the context of the method of virtual copies, and various existence conditions are obtained in terms of the branching rules of representations and the properties of the characteristic representation associated to an embedding of semisimple algebras. Contractions of the Lie algebra sp(2N, R) with respect to nonmaximal symplectic subalgebras are studied in some detail. In particular, a realization of the subalgebra in terms of cubic polynomial operators is constructed. PB IOP Publishing Ltd SN 1742-6588 LK https://hdl.handle.net/20.500.14352/65300 UL https://hdl.handle.net/20.500.14352/65300 LA eng NO Symmetries in Science XVIII 4-9 August 2019, Hotel Gasthof Lamm, Bregenz, Austria DS Docta Complutense RD 30 dic 2025