RT Journal Article T1 From integrable nets to integrable lattices A1 Mañas Baena, Manuel Enrique AB Inspired by the results of Jonas, Einsenhart, Demoulin, and Bianchi on the permutability property of classical geometrical transformations of conjugate nets and its reductions-of pseudo-orthogonal, pseudo-symmetric, and pseudo-Egorov types-dressing transformations of the N-component KP hierarchy (described within the Grassmannian) are used to generate quadrilateral lattices and its corresponding reductions. As a byproduct we get the corresponding discrete dressing transformations; in particular, we characterize the vectorial fundamental discrete transformations preserving the symmetric lattice. PB American Institute of Physics SN 0022-2488 YR 2002 FD 2002-05 LK https://hdl.handle.net/20.500.14352/59683 UL https://hdl.handle.net/20.500.14352/59683 LA eng NO ©2002 American Institute of Physics.This work was partially supported by Direction General de Enseñanza Superior e Investigación Científica proyecto PB98-0821 NO Direction General de Enseñanza Superior e Investigación Científica DS Docta Complutense RD 6 abr 2025