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1. Lie algebra, algebraic: The Lie algebra of an algebraic subgroup (see Algebraic group) of the general linear group of all automorphisms of a finite-dimensional vector space $V$ over a field $k$. If $\mathfrak g$ is an arbitrary subalgebra of the Lie algebra ... (Mathematics) [100%] 2023-10-17
2. Lie-Algebra: Eine Lie-Algebra (auch Liesche Algebra), benannt nach Sophus Lie, ist eine algebraische Struktur, die mit einer Lie-Klammer versehen ist, d. h., es existiert eine antisymmetrische Verknüpfung, die die Jacobi-Identität erfüllt. [84%] 2024-01-20
3. Lie algebra: In mathematics, a Lie algebra (pronounced /liː/ LEE) is a vector space \displaystyle{ \mathfrak g }[/math] together with an operation called the Lie bracket, an alternating bilinear map \displaystyle{ \mathfrak g \times \mathfrak g \rightarrow \mathfrak g }[/math], that satisfies the ... (Algebraic structure used in analysis) [84%] 2024-01-01 [Lie groups] [Lie algebras]...
4. Lie- algebra: In mathematics, a Lie-* algebra is a D-module with a Lie* bracket. They were introduced by Alexander Beilinson and Vladimir Drinfeld ((Beilinson Drinfeld)), and are similar to the conformal algebras discussed by (Kac 1998) and to vertex Lie algebras. [84%] 2023-01-25 [Lie algebras]
5. Lie algebra: A Lie algebra is an easy example of an algebraic structure that is not associative. Lie algebras describe infinitesimal symmetries or transformations. [84%] 2023-07-30 [Physics] [Mathematics]...
6. Lie algebra: A Lie algebra is a unitary $k$-module $L$ over a commutative ring $k$ with a unit that is endowed with a bilinear mapping $(x,y)\mapsto [x,y]$ of $L\times L$ into $L$ having the following two properties ... (Mathematics) [84%] 2024-01-01
7. Lie algebra of an algebraic group: l0584801.png ~/encyclopedia/old_files/data/L058/L.0508480 104 0 104 The analogue of the Lie algebra of an analytic group, which relates to the case of affine algebraic groups. As in the analytic case, the Lie algebra of an ... (Mathematics) [83%] 2023-12-15
8. Algebraic Properties of Equality: The equal sign that depicts the fact that both sides of it are equal is a very strange symbol with many properties. It tells you various traits of each side, and it allows you to manipulate each side in specific ... [81%] 2023-04-02 [Algebra]
9. Lie algebras, variety of: over a ring $ k $ A class $ \mathfrak V $ of Lie algebras (cf. Lie algebra) over $ k $ that satisfy a fixed system of identities. (Mathematics) [80%] 2024-01-01
10. Glossary of Lie algebras: This is a glossary for the terminology applied in the mathematical theories of Lie algebras. The statements in this glossary mainly focus on the algebraic sides of the concepts, without referring to Lie groups or other related subjects. [80%] 2024-01-01 [Glossaries of mathematics] [Lie algebras]...
11. Cohomology of Lie algebras: A special case of cohomology of algebras. Let $ \mathfrak G $ be a Lie algebra over a commutative ring $ K $ with an identity, and suppose that a left $ \mathfrak G $- module $ V $ has been given, that is, a $ K $- linear representation ... (Mathematics) [80%] 2023-10-22
12. Algebraic algebra: An algebra with associative powers (in particular, an associative algebra) over a field in which all elements are algebraic: an element $a$ of the algebra $A$ is called algebraic over the field $F$ if the subalgebra $F$ generated by $a ... (Mathematics) [80%] 2023-10-13
13. .properties: .properties (от англ. properties — свойства, параметры) — текстовый формат и одноимённое расширение имени файла. [79%] 2024-01-04
14. Properties: Properties are those entities that can be predicated of things or, in other words, attributed to them. Thus, properties are often called predicables. (Philosophy) [79%] 2022-05-04
15. .properties: .properties是一种主要在Java相关技术中用来存储应用程序的可配置参数的文件的文件扩展名。它们也可以存储用于国际化和本地化的字符串，这种文件被称为属性资源包（Property Resource Bundles）。 每个参数被存储为一对字符串：一个存储名称参数（被称为“键”），另一个存储值。 每个.properties 文件中的行通常存储单个属性。对于每一行可能有这么几种格式，包括键=值，键 = 值，键:值，以及键 值。 .properties文件可以使用井号（#）或叹号（!）作为一行中第一个非空白字符来表示它后面的所有文本都是一个注释。反斜杠（\）用于转义字符。下面提供一个属性文件的示例。 site是一个键，它对应的值是http://en.wikipedia.org/。而数字符号和感. [79%] 2025-04-05 [文件格式] [配置文件]...
16. Linear Lie algebras: A linear (or "classical") Lie algebras is a Lie algebra whose elements can be represented as matrices (or linear transformations over some vector space over a field. See also: sl(n) (special linear Lie algebra) An A-series Lie algebra ... [75%] 2023-11-07 [Lie algebra]
17. Classical Lie algebras: The classical Lie algebras are finite-dimensional Lie algebras over a field which can be classified into four types \displaystyle{ A_n }[/math], \displaystyle{ B_n }[/math], \displaystyle{ C_n }[/math] and \displaystyle{ D_n }[/math], where for \displaystyle{ \mathfrak{gl}(n) }[/math] the ... [75%] 2025-03-23 [Algebra] [Lie algebras]...
18. Weil algebra of a Lie algebra: Let $G$ be a connected Lie group with Lie algebra $\frak g$. The Weil algebra $W ( \mathfrak{g} )$ of $\frak g$ was first introduced in a series of seminars by H. (Mathematics) [71%] 2023-10-19
19. Propertius: Sextus Propertius was ’n Latynse treurdigter uit die Augustynse tydperk. Hy is tussen 50 en 45 v.C. [71%] 2024-01-03
20. Propertius (skipper): Propertius is a genus of skippers in the family Hesperiidae. Wikidata ☰ Q1764075 entry. (Biology) [71%] 2026-05-14 [Hesperiini] [Hesperiidae genera]...