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 trace form 迹形式(0)迹型(3)迹型(3)
 迹型
 Applying Trace Form to Semi-simple Algebras and Representation of Finite Groups 迹型到半单代数和群表示理论中的应用 短句来源 In this paper ,we discuss the derivations of the symplectic ternaryalgebras,the correspondence between the trace form of a Lie triplesystem and that of a symplectic ternary algebra ,and the wedderburnprincipal theorem . 本文讨论了辛三代数的导子性质，其迹型与李三系型的关系，及其分解原理。 短句来源 Using the trace form, we prove the existence of the complete set of primitive central idempotents of semi-simple algebra A on the field K of characteristic zero and exprese A as a direct sum of a finite number of irreducible submodules, further obtain a series of essential results of ordinary representation of finite groups. This method is shorter and clearer than the conventional methods ([1] or[2]). 本文利用迹型证明了特征为0的域K上的半单代数存在本原中心幂等元完全系并且获得半单代数的直和分解,进而得到有限群常表示的一系列基本结果,这种方法比传统的方法(参见[1]和[2])简捷且明晰得多。 短句来源
 迹型
 Applying Trace Form to Semi-simple Algebras and Representation of Finite Groups 迹型到半单代数和群表示理论中的应用 短句来源 In this paper ,we discuss the derivations of the symplectic ternaryalgebras,the correspondence between the trace form of a Lie triplesystem and that of a symplectic ternary algebra ,and the wedderburnprincipal theorem . 本文讨论了辛三代数的导子性质，其迹型与李三系型的关系，及其分解原理。 短句来源 Using the trace form, we prove the existence of the complete set of primitive central idempotents of semi-simple algebra A on the field K of characteristic zero and exprese A as a direct sum of a finite number of irreducible submodules, further obtain a series of essential results of ordinary representation of finite groups. This method is shorter and clearer than the conventional methods ([1] or[2]). 本文利用迹型证明了特征为0的域K上的半单代数存在本原中心幂等元完全系并且获得半单代数的直和分解,进而得到有限群常表示的一系列基本结果,这种方法比传统的方法(参见[1]和[2])简捷且明晰得多。 短句来源
 “trace form”译为未确定词的双语例句
 Z GRADED LIE SUPERALGEBRAS WITH A NONSINGULAR TRACE FORM 具有非退化亦型的Z-阶化李超代数 短句来源 In this paper,a Bhattacharryya Inequality for operators statictic moder in a Hilbert space is given in the operator trace form,And we also gave conditions that operators which achieved this bound。 该文在Hilbert空间算子统计模型中，导出了用算子迹表示的Bhat－tacharyya不等式，并通过算子方程给出了达到Bh下界的算子值估计量所应满足的条件。 短句来源 Let L is a finite dimensional simple Z graded Lie superalgebra. In this paper, we obtain the necessary conditions that L possesses a nondegenerate trace form. Using this result, we obtain that the Killing forms of Lie superalgebras X(n) and X(m,n,t) of Cartan type are degenerate. 本文给出了Z－阶化有限维单李超代数具有非退化亦型的一个必要条件．应用这一结果，我们可以得到Cartan 型李超代数X（n）与X（m ，n，t）的Killing 型是退化的． 短句来源

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 trace form
 Specifically, we present a characterization of the Kuz'min radical in terms of a trace form associated with some representation ρ, which is analogous to the characterization which we have in the case of Lie algebras. We show that the essential dimension of a finite-dimensional central simple algebra coincides with the essential dimension of its r-linear trace form, \$\$ (a_1, \ldots, a_r) \mapsto tr(a_1, \ldots a_r), \$\$ for any r ≥ 3. In this article, we show that the second trace form of a central simple algebra A of even degree over a field of characteristic two is non-degenerate and we compute its classical invariants. If K has characteristic not two, it is shown in [U] that ?2,A does not give much more information than the usual trace form. Let ?A and ?2,A be respectively the trace form and the second trace form of A. 更多
 Some fundamental theoretical problems in 4--dimension descriptive geometry, such as the projection law of a trace--form plane, the characteristic about projection position of geometrical elements etc, have not been perfected yet and should be discussed further. In this paper, after analyzing those characteristics mentioned above, 14 propositions about the representations of general positions of trace--form planes and semiparallel--semi perpendicular planes are presented. Based on these... Some fundamental theoretical problems in 4--dimension descriptive geometry, such as the projection law of a trace--form plane, the characteristic about projection position of geometrical elements etc, have not been perfected yet and should be discussed further. In this paper, after analyzing those characteristics mentioned above, 14 propositions about the representations of general positions of trace--form planes and semiparallel--semi perpendicular planes are presented. Based on these results, a new method for the classification of various positions between planes and for the study of projection characteristic is given. 四维画法几何中关于迹线平面的投影规律及平面在四维投影体系中处于各种位置时的投影特征等基本理论问题,尚有不完备和可商榷之处,本文在对迹线平面的投影性质进行了分析归纳之后,提出了14个有关迹线表示的斜平面、半平行平面及半垂直平面的投影命题,并在此基础上提出一种新的关于各种位置平面的分类和研究其投影性质的方法。 Using the trace form, we prove the existence of the complete set of primitive central idempotents of semi-simple algebra A on the field K of characteristic zero and exprese A as a direct sum of a finite number of irreducible submodules, further obtain a series of essential results of ordinary representation of finite groups. This method is shorter and clearer than the conventional methods ([1] or[2]). 本文利用迹型证明了特征为0的域K上的半单代数存在本原中心幂等元完全系并且获得半单代数的直和分解,进而得到有限群常表示的一系列基本结果,这种方法比传统的方法(参见[1]和[2])简捷且明晰得多。 In this paper,a Bhattacharryya Inequality for operators statictic moder in a Hilbert space is given in the operator trace form,And we also gave conditions that operators which achieved this bound。 该文在Ｈｉｌｂｅｒｔ空间算子统计模型中，导出了用算子迹表示的Ｂｈａｔ－ｔａｃｈａｒｙｙａ不等式，并通过算子方程给出了达到Ｂｈ下界的算子值估计量所应满足的条件。 << 更多相关文摘
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