2026-06-03T19:25:04Zhttps://riuma.uma.es/rest/oai/request

oai:riuma.uma.es:10630/463132026-04-09T23:45:56Zcom_10630_2254col_10630_37953

Alternating and symmetric superpowers of metric generalized Jordan superpairs. Aranda Orna, Diego Córdova Martínez, Alejandra Sarina Lie, Algebras de Lie, Grupos de Jordan, Algebras de Lie superalgebras Generalized Jordan superpairs Lie supermodules Faulkner construction This article introduces and studies the alternating and symmetric superpowers of metric generalized Jordan superpairs. These constructions are obtained by transferring the corresponding superpower operations through the Faulkner construction, which relates these structures to certain modules over Lie superalgebras. The authors also revisit the tensor product construction in this context and analyze its algebraic properties. The work is developed over base fields of characteristic different from 2 and shows how these constructions extend the theory of generalized Jordan superpairs. Agencia Española de Investigación Gobierno de Aragón 2026-04-09T10:53:18Z 2026-01-16 journal article VoR Linear algebra and its applications, vol. 735, 2026, 57-104 0024-3795 https://hdl.handle.net/10630/46313 10.1016/j.laa.2026.01.007 eng Attribution 4.0 International http://creativecommons.org/licenses/by/4.0/ open access application/pdf Elsevier