caa a22 4500 445868740 CHVBK 20180317145505.0 cr unu---uuuuu 170323e20111101xx s 000 0 eng 10.1007/s00605-010-0207-y doi (NATIONALLICENCE)springer-10.1007/s00605-010-0207-y On a class of Lie groups with a left invariant flat pseudo-metric [Elektronische Daten] [Chengming Bai, Dongping Hou, Zhiqi Chen] The study of the Lie groups with a left invariant flat pseudo-metric is equivalent to the study of the left-symmetric algebras with a nondegenerate left invariant bilinear form. In this paper, we consider such a structure satisfying an additional condition that there is a decomposition into a direct sum of the underlying vector spaces of two isotropic subalgebras. Moreover, there is a new underlying algebraic structure, namely, a special L-dendriform algebra and then there is a bialgebra structure which is equivalent to the above structure. The study of coboundary cases leads to a construction from an analogue of the classical Yang-Baxter equation. Springer-Verlag, 2010 Left invariant pseudo-metric nationallicence Left-symmetric algebra nationallicence L-dendriform algebra nationallicence Bai Chengming Chern Institute of Mathematics and LPMC, Nankai University, 300071, Tianjin, People's Republic of China aut Hou Dongping Chern Institute of Mathematics and LPMC, Nankai University, 300071, Tianjin, People's Republic of China aut Chen Zhiqi School of Mathematical Science and LPMC, Nankai University, 300071, Tianjin, People's Republic of China aut Monatshefte für Mathematik Springer Vienna 164/3(2011-11-01), 243-269 0026-9255 164:3<243 2011 164 605 https://doi.org/10.1007/s00605-010-0207-y text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s00605-010-0207-y text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Bai Chengming Chern Institute of Mathematics and LPMC, Nankai University, 300071, Tianjin, People's Republic of China aut NATIONALLICENCE 700 1- Hou Dongping Chern Institute of Mathematics and LPMC, Nankai University, 300071, Tianjin, People's Republic of China aut NATIONALLICENCE 700 1- Chen Zhiqi School of Mathematical Science and LPMC, Nankai University, 300071, Tianjin, People's Republic of China aut NATIONALLICENCE 773 0- Monatshefte für Mathematik Springer Vienna 164/3(2011-11-01), 243-269 0026-9255 164:3<243 2011 164 605 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer