关于拟-Jacobi双代数胚及其Dirac-Jacobi结构

刘玲, 苏农

doi:10.13371/j.cnki.chin.q.j.m.2014.01.012

数学季刊 >

2014 , Vol. 29 >Issue 1: 97 - 106

DOI: https://doi.org/10.13371/j.cnki.chin.q.j.m.2014.01.012

关于拟-Jacobi双代数胚及其Dirac-Jacobi结构

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School of Applied Science, Beijing Information Science and Technology University

LIU Ling(1976-), female, native of Jinzhai, Anhui, an associate professor of Beijing Information Science and Technology University, Ph.D., engages in Poisson geometry.

收稿日期: 2012-01-09

网络出版日期: 2023-02-14

基金资助

Supported by the Scientific Research Common Program of Beijing Municipal Commission of Education(SQKM201211232017)； Supported by the Beijing Excellent Training Grant(2012D005007000005)； Supported by the Funding Program for Academic Human Resources Development in Institutions of Higher Learning Under the Jurisdiction of Beijing Municipality(11530500015)

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On Quasi-Jacobi Bialgebroid and Its Dirac-Jacobi Structure

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School of Applied Science, Beijing Information Science and Technology University

LIU Ling(1976-), female, native of Jinzhai, Anhui, an associate professor of Beijing Information Science and Technology University, Ph.D., engages in Poisson geometry.

Received date: 2012-01-09

Online published: 2023-02-14

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摘要

Notions of quasi-Jacobi bialgebroid and its Dirac-Jacobi structure are introduced. The necessary and sufficient conditions for a maximal isotropic subbundle L to be a DiracJacobi structure are proved. Meanwhile several special examples are presented.

关键词： quasi-Jacobi bialgebroid; Jacobi-quasi bialgebroid; Dirac-Jacobi structure; triangular Jacobi bialgebroid

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刘玲, 苏农 . 关于拟-Jacobi双代数胚及其Dirac-Jacobi结构[J]. 数学季刊, 2014 , 29(1) : 97 -106 . DOI: 10.13371/j.cnki.chin.q.j.m.2014.01.012

Abstract

Key words： quasi-Jacobi bialgebroid; Jacobi-quasi bialgebroid; Dirac-Jacobi structure; triangular Jacobi bialgebroid

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