Poisson幾何與李n-代數(shù)
發(fā)布時(shí)間：2019-04-25 14:43
【摘要】：Poisson幾何與高階結(jié)構(gòu)密切相關(guān).本文主要綜述Poisson幾何中的Courant代數(shù)胚、preCourant代數(shù)胚與李2-代數(shù)之間的關(guān)系;CLWX(CLWX是"Courant-劉張炬-Weinstein-徐平"的縮寫)2-代數(shù)胚與李3-代數(shù)之間的關(guān)系;(非交換)omni-(n)-李代數(shù)與李2-代數(shù)之間的關(guān)系;多辛幾何以及高階Courant代數(shù)胚的迷向?qū)献訁才c李n-代數(shù)之間的關(guān)系.
[Abstract]:Poisson geometry is closely related to higher order structures. In this paper, we mainly review the relationship between Courant algebra germs in Poisson geometry and lie 2-algebras. The relation between preCourant algebra germs and lie 2-algebras; CLWX (CLWX is abbreviated to "Courant- Liu Zhangju-Weinstein- Xu Ping") 2-algebraic germs and lie 3-algebras. The relations between (noncommutative) omni- (n)-lie algebras and lie 2-algebras, the relations between polysymplectic geometry and the isozygotic bundle of higher order Courant algebras and lie n-algebras.
【作者單位】： 吉林大學(xué)數(shù)學(xué)學(xué)院;Department
【基金】：吉林省自然科學(xué)基金(批準(zhǔn)號(hào):20170101050JC) 國(guó)家自然科學(xué)基金(批準(zhǔn)號(hào):11471139)資助項(xiàng)目
【分類號(hào)】：O152.5;O186.1
，
本文編號(hào)：2465219
[Abstract]:Poisson geometry is closely related to higher order structures. In this paper, we mainly review the relationship between Courant algebra germs in Poisson geometry and lie 2-algebras. The relation between preCourant algebra germs and lie 2-algebras; CLWX (CLWX is abbreviated to "Courant- Liu Zhangju-Weinstein- Xu Ping") 2-algebraic germs and lie 3-algebras. The relations between (noncommutative) omni- (n)-lie algebras and lie 2-algebras, the relations between polysymplectic geometry and the isozygotic bundle of higher order Courant algebras and lie n-algebras.
【作者單位】： 吉林大學(xué)數(shù)學(xué)學(xué)院;Department
【基金】：吉林省自然科學(xué)基金(批準(zhǔn)號(hào):20170101050JC) 國(guó)家自然科學(xué)基金(批準(zhǔn)號(hào):11471139)資助項(xiàng)目
【分類號(hào)】：O152.5;O186.1
，
本文編號(hào)：2465219
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