Search for "Linear algebraic groups" in article titles:

1. Linear algebraic groups, arithmetic theory of: The theory that studies arithmetic properties of linear algebraic groups (cf. Linear algebraic group), defined, as a rule, over a global field. (Mathematics) [100%] 2023-12-18

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1. Linear algebraic group: A linear algebraic group is an algebraic group that is isomorphic to an algebraic subgroup of a general linear group. An algebraic group $G$ is linear if and only if the algebraic variety $G$ is affine, that is, isomorphic to ... (Mathematics) [100%] 2023-12-14
2. Linear algebra: The branch of algebra in which one studies vector (linear) spaces, linear operators (linear mappings), and linear, bilinear and quadratic functions (functionals and forms) on vector spaces. Historically the first branch of linear algebra was the theory of linear algebraic ... (Mathematics) [80%] 2024-01-12
3. Linear algebra: Linear Algebra. (Manual) [80%] 2023-11-08 [Linear algebra]
4. Linear algebra: Linear algebra is the branch of mathematics concerning linear equations such as: linear maps such as: and their representations in vector spaces and through matrices. Linear algebra is central to almost all areas of mathematics. (Branch of mathematics) [80%] 2023-10-29 [Linear algebra] [Numerical analysis]...
5. Linear algebra: Linear algebra is the branch of mathematics concerning linear equations such as: linear maps such as: and their representations in vector spaces and through matrices. Linear algebra is central to almost all areas of mathematics. (Branch of mathematics) [80%] 2024-01-20 [Linear algebra] [Numerical analysis]...
6. Linear algebra: Linear algebra is the branch of mathematics that deals with vectors, vector spaces, linear maps, and systems of linear equations. Topics studied in Linear algebra include Linear equations, Matrices, Matrix decompositions, Computations, Vectors, Vector spaces, Multilinear algebra, Affine space, Projective ... [80%] 2023-03-07 [Linear Algebra] [Mathematics]...
7. Linear algebra: Linear algebra is a branch of mathematics that concerns linear equations, vector spaces, linear maps between vector spaces, and matrices. We have two featured projects, both outside the namespace of this resource. [80%] 2024-01-20 [Linear algebra] [Open essay collections]...
8. Linear algebra: Linear algebra is a branch of mathematics encompassing a broad range of topics, such as systems of linear equations, matrix algebra, and arrows in Cartesian two-dimensional or three-dimensional space (appearing, for instance, as forces in physics). More generally ... [80%] 2023-07-23
9. 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) [78%] 2023-10-13
10. Linear algebraic equation: A linear algebraic equation (or as well a linear equation) is an algebraic equation of the first degree in all unknowns, that is, an equation of the form $$a_1 x_1+\cdots +a_nx_n = b.$$ Every system of linear algebraic equations can ... (Mathematics) [76%] 2023-10-22
11. Linear group: In mathematics, a matrix group is a group G consisting of invertible matrices over a specified field K, with the operation of matrix multiplication. A linear group is a group that is isomorphic to a matrix group (that is, admitting ... [76%] 2023-06-03 [Infinite group theory] [Matrices]...
12. Linear group: A group of linear transformations of a vector space $ V $ of finite dimension $ n $ over some skew-field $ K $ . The choice of a basis in $ V $ realizes a linear group as a group of non-singular square $ ( n \times n ... (Mathematics) [76%] 2023-09-12
13. Algebraic group: In mathematics, an algebraic group is an algebraic variety endowed with a group structure which is compatible with its structure as an algebraic variety. Thus the study of algebraic groups belongs both to algebraic geometry and group theory. (Algebraic variety with a group structure) [74%] 2023-12-19 [Algebraic groups] [Properties of groups]...
14. Algebraic group: A group $G$ provided with the structure of an algebraic variety in which the multiplication $ \mu: G\times G \to G $ and the inversion mapping $\nu: G \to G$ are regular mappings (morphisms) of algebraic varieties. An algebraic group is ... (Mathematics) [74%] 2023-12-15
15. Distribution on a linear algebraic group: In algebraic geometry, given a linear algebraic group G over a field k, a distribution on it is a linear functional \displaystyle{ k \to k }[/math] satisfying some support condition. A convolution of distributions is again a distribution and thus ... (Linear function satisfying a support condition) [70%] 2023-07-21 [Algebraic geometry]
16. Linear (Hong Kong): Linear blocks (Chinese: 相連長型大廈) are a design of public housing blocks. It is divided into Linear 1, 2 (never built), 3, Linear L, and L2. (Hong Kong) [67%] 2023-10-24 [Urban planning]
17. LINEAR (アルバム): 『LINEAR』（リニア）は、日本のバンド、ストレイテナーのメジャー4枚目のオリジナルアルバムである。2007年3月7日発売。発売元は東芝EMI。. (アルバム) [67%] 2025-05-01 [2007年のアルバム] [ストレイテナーのアルバム]...
18. 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 ... [67%] 2023-11-07 [Lie algebra]
19. Linear Lie algebra: In algebra, a linear Lie algebra is a subalgebra \displaystyle{ \mathfrak{g} }[/math] of the Lie algebra \displaystyle{ \mathfrak{gl}(V) }[/math] consisting of endomorphisms of a vector space V. In other words, a linear Lie algebra is the image ... [65%] 2023-10-28 [Lie algebras]