RT Journal Article T1 Long dimodules and quasitriangular weak Hopf monoids A1 Alonso Álvarez, José Nicanor A1 Fernández Vilaboa, José Manuel A1 González Rodríguez, Ramón K1 1201 Álgebra K1 12 Matemáticas AB In this paper, we prove that for any pair of weak Hopf monoids H and B in a symmetric monoidal category where every idempotent morphism splits, the category of H-B-Long dimodules HBLong is monoidal. Moreover, if H is quasitriangular and B coquasitriangular, we also prove that HBLong is braided. As a consequence of this result, we obtain that if H is triangular and B cotriangular, HBLong is an example of a symmetric monoidal category. PB Mathematics SN 22277390 YR 2021 FD 2021-02-21 LK http://hdl.handle.net/11093/2806 UL http://hdl.handle.net/11093/2806 LA eng NO Mathematics, 9(4): 424 (2021) NO Ministerio de Economía, Industria y Competitividad | Ref. MTM2016-79661-P DS Investigo RD 17-sep-2024