lie algebra 中文意思是什麼
lie algebra
解釋
李代數-
Structure of admissible lattice and stabilizer of module of affine lie algebra
帶三角分解李代數的賦值模 -
Derivation algebra of quasi q5 - filiform lie algebra
李代數的導子代數 -
Irreducible modules of generalized virasoro - toroidal lie algebra
李代數不可約模 -
For the regular curves, we find two killing fields for the purpose of integrating the structural equations of the p - elastic curves and express the p - elastica by quadratures in a system of cylindrical coordinates. for the star - like affine curves, we solve the euler - lagrange equation by quadratures and reduced the higher order structure equation to a first order linear system by using killing field and the classification of linear lie algebra sl ( 2, r ), sl ( 3, r ) and sl ( 4, r ). we solve the centroaffine p - elastica completely by quadratures
對于正則曲線的情形,我們發現了兩個用於求解p -彈性曲線的結構方程的killing向量場並用積分將p -彈性曲線在一個柱面坐標系中表示出來,而對仿射星形曲線的情形,我們用積分方法解出了歐拉-拉格朗日方程,利用killing向量場及線性李代數s1 ( 2 , r ) 、 s1 ( 3 , r )和s1 ( 4 , r )的分類將高階結構方程降為一階線性方程,因此我們用積分完全解出了中心仿射p -彈性曲線。 -
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。 -
From these - two forms, we determine the automorphism group aut ( h ) of the ( 2n + 1 ) - dimensional heisenberg lie algebra h ( see theorem1. 1 ). moreover, some subgroups of aut ( h ) are obtained, such as the inner automorphism group, the central automorphism group, the involutional automorphism group, the first and the second extremal automorphism group
第一部分安排如下:首先給出了heisenberg李代數的兩種定義形式,由這兩種定義形式,我們得到了( 2n + 1 )維heisenberg李代數h的自同構群aut ( h ) (定理1 . 1 ) ;進而給出了aut ( h )的一些子群:內自同構群,中心自同構群,對合自同構群,第一類外自同構群,第二類外自同構群。 -
The procedure is as follows : after the modeling of the electron quantum bit system and the control field, applying the lie - algebra, the control output is calculated by analogy with the classical optimal control method to achieve the target
建立了該量子比特系統及其控制場的模型,藉助李群李代數,由經典最優控制的思想來獲得最優控制,從而實現了電子自旋量子系統任意量子態的最優制備。 -
Exact solutions of the reduced cuprate superconductor model related to su lie algebra
李代數相關的約化銅酸鹽超導模型的嚴格解 -
We define the mapping a on circle in double quiver q of a quiver q, and give a strict defition of bracket operation in lie algebra, then prove it is a lie bracket. in section 1. 2, we introduce the left and right index arrays of an necklace word
1節中,我們定義了箭圖q的重箭圖( ? )循環上的映射,用它給出了項鏈李代數括號運算的一個嚴格定義,並用此定義證明了這是一個李運算。在1 -
Some properties of symmetric self - dual lie algebra
對稱自對偶李代數的一些性質 -
Vertex operator representations for totoidal lie algebra of type f
李代數的頂點表示 -
Vertex representation of 2 - toroidal lie algebra of type g
李代數的頂點表示 -
Using them, we divided the necklace words into 5 classes, namely : a, b, c, d and e. we also discuss a natural involution of necklace lie algebra. in section 1. 3, taking the advantage of the classification by the index arrays, pointed out the space spanned by class a, b, c respect ! vivety are subalgebras of nq
2節中,我們對項鏈字引入左右指標數組,利用它們把項鏈李代數n _ q的基分成了a , b , c , d , e5類。我們還討論了由重箭圖自然自同構導出的李代數的一個自然的對合。在1 -
This thesis consists of two parts. part i deals with the automorphism group of heisenberg lie algebra and part ii deals with the standard kac - moody algebras and the completely reducibility of integrable modules
本文由兩部分構成:第一部分: heisenberg李代數的自同構群;第二部分:典範kac - moody代數與可積模的完全可約性。 -
In particular, the bosonic realizations of su ( 1, 1 ) lie algebra describe the degenerate and non - degenerate parametric amplifiers. and the linear dissipative process can also be described by this algebra
尤其是su ( 1 , 1 )李代數的玻色子算符實現形式,可以描述簡並參數放大器,非簡並參數放大器及線性耗散過程。 -
By the coset method of lie algebra ( group ), we studied the problem of quantization of the nonintegrable systems
本論文運用李代數(群)陪集方法來研究不可積體系的量子化問題。 -
Polynomial lie suhalgebras of the inifinite matrix lie algebra
無限矩陣李代數的多項式李子代數 -
Lie algebra of derivations of algebras of differential operators in n - variables
元微分運算元代數的導子李代數 -
The automorphism group of heisenberg lie algebra
李代數的自同構群 -
Associated it we define a root system. in a suitable condition we define a lie algebra to realize this root system, namely, using an euler cocycle given by intersection matrix, we define an infinitely dimensional vector space with the lie operation becomes a lie algebra
在適當的條件之下,我們給出了該根系的一個李代數實現,即利用該相交矩陣確定的一個歐拉cocycle和根系,我們定義了一個無限維向量空間和李運算,並且證明了這個無限維向量空間在該李運算之下構成一個李代數。
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