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1. Theory of Lie groups: In mathematics, Theory of Lie groups is a series of books on Lie groups by Claude Chevalley (1946, 1951, 1955). The first in the series was one of the earliest books on Lie groups to treat them from the global ... [100%] 2023-10-08 [Mathematics books] [Lie groups]...
2. Group theory: In mathematics, groups often arise as structures representing the set of possible symmetries of some object. We have been intentionally vague about the meaning of the terms symmetry and object. [71%] 2023-06-26
3. Group theory: Group theory is the study of mathematical groups, including their symmetries and permutations. It has applications in science, and has become one of the most active branches in all of mathematics in the 20th century. [71%] 2023-03-13 [Algebra]
4. Group theory: Welcome to Group Theory! Group Theory is a vibrant, wide area of current research in mathematics, computer science and mathematical/theoretical physics. [71%] 2024-01-19 [{{PAGENAME}}]
5. Group theory: In abstract algebra, group theory studies the algebraic structures known as groups. The concept of a group is central to abstract algebra: other well-known algebraic structures, such as rings, fields, and vector spaces, can all be seen as groups ... (Branch of mathematics that studies the properties of groups) [71%] 2024-08-13 [Group theory]
6. Lie group: In mathematics, a Lie group (pronounced /liː/ LEE) is a group that is also a differentiable manifold. A manifold is a space that locally resembles Euclidean space, whereas groups define the abstract concept of a binary operation along with the additional ... (Group that is also a differentiable manifold with group operations that are smooth) [71%] 2023-07-14 [Lie groups] [Manifolds]...
7. Lie group: A group $ G $ having the structure of an analytic manifold such that the mapping $ \mu : \ ( x ,\ y ) \rightarrow x y ^{-1} $ of the direct product $ G \times G $ into $ G $ is analytic. In other words, a Lie group is a ... (Mathematics) [71%] 2023-10-17
8. Table of Lie groups: This article gives a table of some common Lie groups and their associated Lie algebras. The following are noted: the topological properties of the group (dimension; connectedness; compactness; the nature of the fundamental group; and whether or not they are ... [70%] 2024-01-01 [Lie groups] [Lie algebras]...
9. Lie theorem: Lie's theorem is one of the three classical theorems in the theory of Lie groups that describe the connection between a local Lie group (cf. Lie group, local) and its Lie algebra. (Mathematics) [68%] 2023-08-18
10. Lin Lie: Lin Line (林烈) es un superhéroe Chino que aparece en los cómics americanos publicados por Marvel Comics. Lin apareció por primera vez en la web manhua Warrior of the Three Sovereigns (chino simplificado: 三皇斗战士) #1 (mayo de 2018) como Sword Master, un descendiente ... [68%] 2023-11-17
11. Lin Lie: Lin Lie (Chinese: 林烈) is a Chinese superhero originally appearing in web manhua and later American comic books published by Marvel Comics. Created by artist Gunji and writer Shuizhu, Lin first appeared in the Chinese digital series Warrior of the Three ... (Fictional superhero in Marvel Comics) [68%] 2023-12-28 [Chinese superheroes] [Iron Fist (comics)]...
12. Glossary of group theory: A group is a set together with an associative operation which admits an identity element and such that every element has an inverse. Throughout the article, we use \displaystyle{ e }[/math] to denote the identity element of a group. [65%] 2023-10-17 [Group theory] [Glossaries of mathematics]...
13. History of group theory: The history of group theory, a mathematical domain studying groups in their various forms, has evolved in various parallel threads. There are three historical roots of group theory: the theory of algebraic equations, number theory and geometry. [65%] 2023-09-15 [Group theory] [History of mathematics]...
14. Glossary of group theory: A group is a set together with an associative operation that admits an identity element and such that there exists an inverse for every element. Throughout this glossary, we use e to denote the identity element of a group. [65%] 2024-01-19 [Group theory] [Glossaries of mathematics]...
15. Journal of Group Theory: Le Journal of Group Theory est une revue mathématique bimestrielle à comité de lecture couvrant tous les aspects de la théorie des groupes. Le journal a été créé en 1998 et est publié par Walter de Gruyter. [65%] 2023-08-04
16. Group of Lie type: In mathematics, specifically in group theory, the phrase group of Lie type usually refers to finite groups that are closely related to the group of rational points of a reductive linear algebraic group with values in a finite field. The ... [65%] 2023-12-03 [Group theory] [Lie algebras]...
17. Representation theory of finite groups: The representation theory of groups is a part of mathematics which examines how groups act on given structures. Here the focus is in particular on operations of groups on vector spaces. (Representations of finite groups, particularly on vector spaces) [63%] 2024-01-19 [Representation theory of finite groups]
18. Representation theory of finite groups: The representation theory of groups is a part of mathematics which examines how groups act on given structures. Here the focus is in particular on operations of groups on vector spaces. (Representations of finite groups, particularly on vector spaces) [63%] 2023-12-31 [Representation theory of finite groups]
19. Representation theory of diffeomorphism groups: In mathematics, a source for the representation theory of the group of diffeomorphisms of a smooth manifold M is the initial observation that (for M connected) that group acts transitively on M. A survey paper from 1975 of the subject ... (Representation theory of the symmetries of manifolds) [63%] 2023-07-28 [Representation theory of groups]
20. Representations of classical Lie groups: In mathematics, the finite-dimensional representations of the complex classical Lie groups \displaystyle{ GL(n,\mathbb{C}) }[/math], \displaystyle{ SL(n,\mathbb{C}) }[/math], \displaystyle{ O(n,\mathbb{C}) }[/math], \displaystyle{ SO(n,\mathbb{C}) }[/math], \displaystyle{ Sp(2n,\mathbb ... [63%] 2023-07-23 [Representation theory of Lie groups] [Lie groups]...