李雙代數 的英文怎麼說
中文拼音 [lǐshuāngdàishǔ]
李雙代數
英文
lie bialgebra-
In section 3, i introduce a new kind of two - mode bosonic realization of su ( 1, 1 ) lie algebra, on the basis of which the two - mode su ( 1, 1 ) coherent states in the two - mode fock space are derived
第三部分引進一種新的雙模su ( 1 , 1 )李代數的玻色子算符實現形式,在此基礎上導出了在雙模fock空間上的雙模su ( 1 , 1 )相干態。Symmetry of dipolarizations in semisimple lie algebras
半單李代數雙極化的對稱性The super - symmetry bilinear forms of finite - dimensional simple z - graded lie superalgebras
階化李超代數的超對稱雙線性型A class of lie algebras with a symmetric invariant non - degenerate bilinear form
一類帶有非退化對稱不變雙線性型的李代數This paper proves that any dipolarization in a real or complex semisimple lie algebra is symmetric. thus a complete answer to the open problem in reference 2 is gaven
本文證明半單李代數上的任何雙極化都是對稱的,從而解決了金行壯二於1993年提出的一個待解的問題.並給出了有關結果的一些應用Abstract : this paper proves that any dipolarization in a real or complex semisimple lie algebra is symmetric. thus a complete answer to the open problem in reference 2 is gaven
文摘:本文證明半單李代數上的任何雙極化都是對稱的,從而解決了金行壯二於1993年提出的一個待解的問題.並給出了有關結果的一些應用These lie algebras are hyperbolic corresponding to a generalized cartan matrice a = n > 2
我們只討論對應于廣義2 n cartan矩陣a din 2的一類特殊的二階雙曲型李代數。The dirac stracture for lie bialgebroid ( a, a * ) is a subbundle l c a + a *, which is maximally isotropic with respect to symmetric bilinear form (, ) +, whose section is closed under the bracket [, ]. the dual characteristic pairs of maximal isotropic subbundle is an important conception which is used to describe maximal isotropic subbundle
李雙代數胚上的dirac結構是指在對稱配對( , ) _ +下極大迷向,在[ , ]下可積的子叢,對偶特徵對是描述極大迷向子叢的重要概念。With the if and only if condition of the condition when a maximally isotropic subbundle is a dirac structure, we particularly discuss some lie bialgebroids and its dirac structures in the section three. moreover, we get the similar conclusions and theorems. from these, we know more properties of poisson - nijenhuis manifold
利用極大迷向子叢是dirac結構的充要條件,第三節詳細討論了poisson - nijenhuis流形上的幾種李雙代數胚及其上的dirac結構,並由此得到了一些poisson - nijenhuis流形上dirac結構的特殊性質。In chapter one we introduce lie bialgebriod and related conception, and special situation do detailedly
本文的第一章介紹了李雙代數胚及其相關的概念,並對一些特殊情形做了詳盡的說明。Considered the relationship between the dirac structures of poisson - nijenhuis manifold and the basic vector field, we proof that the basic vector field can keep the dirac structures of poisson - nijenhuis manifold which discussed before
考慮了基本向量場與dirac結構的關系,在前三節的基礎上證明了基本向量場可以保持上述李雙代數胚上的dirac結構。The content in chapter three is main of this paper. at the first all we try to discuss the lie algebroid morphism and lie bialgbroicl morphism whose operations are analyzed and discussed. on the basis of this we discuss pullback dirac structure for lie bialgebroid clearly
第三章是本文的主體部分,首先引入了李代數胚態射和李雙代數胚態射的概念,對其運算進行了分析和討論,在此基礎上對李雙代數胚上的拉回dirac結構做了詳細的討論。In this paper, we introduce the definition of lie bialgebroid and its dirac structures firstly. then we particularly discuss the tangent lie bialgebroid, based on the conclusion and thorems given by a. weinstein, z - j., liu. in section two, we study the nijenhuis tensor, which causes the deformation of poisson tensor. view poisson - nijenhuis manifold as a special case of bihamiltonian manifold, we will show some special anduseful properties of poisson - nijenhuis manifold
將poisson - nijenhuis流形作為雙hamilton流形的一個特例,得到poisson - nijenhuis流形上一些比較特殊和有用的性質;並給出了poisson - nijenhuis流形上的形變李代數胚和形變李雙代數胚。分享友人