A Recursive Basis for Primitive Forms in Symplectic Spaces and Applications to Heisenberg Groups  

作　　者：Annalisa BALDI Marilena BARNABEI Bruno FRANCHI 

机构地区：[1]Dipartimento di Matematica,Piazza di Porta S.Donato 5,40126 Bologna,Italy

出　　处：《Acta Mathematica Sinica,English Series》2016年第3期265-285,共21页数学学报（英文版）

基　　金：Supported by University of Bologna;funds for selected research topics;supported by the Gruppo Nazionale per l’Analisi Matematica,la Probabilita e le loro Applicazioni(GNAMPA)of the Istituto Nazionale di Alta Matematica(INdA M);supported by P.R.I.N.of M.I.U.R.,Italy

摘　　要：This paper is divided in two parts： in Section 2, we define recursively a privileged basis of the primitive forms in a symplectic space（V^（2n）, ω）. Successively, in Section 3, we apply our construction in the setting of Heisenberg groups H^n, n ≥ 1, to write in coordinates the exterior differential of the so-called Rumin＇s complex of differential forms in H^n.This paper is divided in two parts： in Section 2, we define recursively a privileged basis of the primitive forms in a symplectic space（V^（2n）, ω）. Successively, in Section 3, we apply our construction in the setting of Heisenberg groups H^n, n ≥ 1, to write in coordinates the exterior differential of the so-called Rumin＇s complex of differential forms in H^n.

关 键 词：Symplectic manifolds differential forms Heisenberg groups combinatorial functions 

分 类 号：O152[理学—数学]