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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. 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) [96%] 2024-01-19 [Representation theory of finite groups]
3. 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) [96%] 2023-12-31 [Representation theory of finite groups]
4. 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) [96%] 2023-07-28 [Representation theory of groups]
5. 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 ... [94%] 2023-07-23 [Representation theory of Lie groups] [Lie groups]...
6. Representation theory: Representation theory is a branch of mathematics that studies abstract algebraic structures by representing their elements as linear transformations of vector spaces, and studies modules over these abstract algebraic structures. In essence, a representation makes an abstract algebraic object more ... (Branch of mathematics that studies abstract algebraic structures) [93%] 2023-12-16 [Representation theory]
7. Representation theory: A theory studying homomorphisms of semi-groups (in particular, groups), algebras or other algebraic systems into corresponding endomorphism systems of suitable structures. Most often one considers linear representations, i.e. (Mathematics) [93%] 2023-05-22
8. Representation of a Lie group: In mathematics and theoretical physics, a representation of a Lie group is a linear action of a Lie group on a vector space. Equivalently, a representation is a smooth homomorphism of the group into the group of invertible operators on ... (Group representation) [91%] 2024-08-14 [Representation theory of Lie groups] [Lie groups]...
9. Representation theory of semisimple Lie algebras: In mathematics, the representation theory of semisimple Lie algebras is one of the crowning achievements of the theory of Lie groups and Lie algebras. The theory was worked out mainly by E. [89%] 2024-06-03 [Lie algebras]
10. Atlas of Lie groups and representations: The Atlas of Lie Groups and Representations is a mathematical project to solve the problem of the unitary dual for real reductive Lie groups. (As of March 2008), the following mathematicians are listed as members. (Mathematical project) [85%] 2022-11-26 [Representation theory of groups]
11. Representation theory of the Lorentz group: The Lorentz group is a Lie group of symmetries of the spacetime of special relativity. This group can be realized as a collection of matrices, linear transformations, or unitary operators on some Hilbert space;. (Physics) [83%] 2021-12-22 [Representation theory of Lie groups] [Special relativity]...
12. Representation theory of the symmetric group: In mathematics, the representation theory of the symmetric group is a particular case of the representation theory of finite groups, for which a concrete and detailed theory can be obtained. This has a large area of potential applications, from symmetric ... [83%] 2023-12-14 [Representation theory of finite groups] [Permutations]...
13. Representation theory of the Lorentz group: The Lorentz group is a Lie group of symmetries of the spacetime of special relativity. This group can be realized as a collection of matrices, linear transformations, or unitary operators on some Hilbert space; it has a variety of representations. [83%] 2023-03-31
14. Representation theory of the Galilean group: In nonrelativistic quantum mechanics, an account can be given of the existence of mass and spin (normally explained in Wigner's classification of relativistic mechanics) in terms of the representation theory of the Galilean group, which is the spacetime symmetry ... (Physics) [83%] 2023-08-25 [Rotational symmetry] [Quantum mechanics]...
15. Representation theory of the Lorentz group: The Lorentz group is a Lie group of symmetries of the spacetime of special relativity. This group can be realized as a collection of matrices, linear transformations, or unitary operators on some Hilbert space;. (Representation of the symmetry group of spacetime in special relativity) [83%] 2021-12-24 [Representation theory of Lie groups] [Special relativity]...
16. Representation theory of the Poincaré group: In mathematics, the representation theory of the Poincaré group is an example of the representation theory of a Lie group that is neither a compact group nor a semisimple group. It is fundamental in theoretical physics. (Representation theory of an important group in physics) [83%] 2025-09-05 [Representation theory of Lie groups] [Quantum field theory]...
17. Adjoint representation of a Lie group: or algebraic group $G$ The adjoint representation of a Lie group $G$ is the linear representation $\def\Ad{\textrm{Ad}\;} \Ad $ of $G$ in the tangent space $T_e(G)$ (or in the Lie algebra $\def\g{\mathfrak{g}}\g$ of ... (Mathematics) [83%] 2023-10-20
18. Group representation: In the mathematical field of representation theory, group representations describe abstract groups in terms of bijective linear transformations of a vector space to itself (i.e. vector space automorphisms); in particular, they can be used to represent group elements as ... (Group homomorphism into the general linear group over a vector space) [83%] 2025-04-23 [Group theory] [Representation theory]...
19. Emulation theory of representation: The emulation theory of representation postulates that there are multiple internal modeling circuitries in the brain referred to as emulators. These emulators mimic the input-output patterns of many cognitive operations including action, perception, and imagery. [81%] 2024-01-08 [Neuroscience]
20. Glossary of representation theory: This is a glossary of representation theory in mathematics. The term "module" is often used synonymously for a representation; for the module-theoretic terminology, see also glossary of module theory. (none) [81%] 2023-12-19 [Glossaries of mathematics] [Representation theory]...