semidirect product
短语词形变化
释义与例句
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1.
A generalisation of direct product such that, in one of two equivalent definitions, only one of the subgroups involved is required to be a normal subgroup.
数学1998, Hernán Cendra, Darryl D. Holm, Jerrold E. Marsden, Tudor S. Ratiu, Lagrangian Reduction, the Euler-Poincaré Equations, and Semidirect Products, A. G. Khovanskiĭ, A. Varchenko, V. Vassiliev (editors), Geometry of Differential Equations, American Mathematical Society, Translations, Series 2, Volume 186, Advances in the Mathematical Sciences 39, page 8, The preceding result is a special case of a general theorem on reduction by stages for semidirect products acting on a symplectic manifold […] .
词源
Refers to the fact that the criteria are less strict than for the direct product; compare semidirect.
来源：wiktionary