Search for "Representation theory of finite groups" in article titles:

1. 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) [100%] 2024-01-19 [Representation theory of finite 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) [100%] 2023-12-31 [Representation theory of finite groups]

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1. Linear representations of finite groups: Let V {\displaystyle {\mathcal {V}}} and W {\displaystyle {\mathcal {W}}} be two vector spaces over the same field K {\displaystyle \mathbb {K} } , and let T : V → W {\displaystyle T:{\mathcal {V}}\to {\mathcal {W}}} be a mapping between the two ... [78%] 2024-01-19
2. Finite group, representation of a: A homomorphism of a finite group $ G $ into the group of non-singular linear mappings of a vector space into itself over a field $ K $. The representation theory of finite groups is the most highly developed (and is a most ... (Mathematics) [76%] 2023-10-18
3. 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) [73%] 2023-07-28 [Representation theory of groups]
4. 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) [71%] 2023-12-16 [Representation theory]
5. 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) [71%] 2023-05-22
6. Finite-dimensional representation: A linear representation of a topological group in a finite-dimensional vector space. The theory of finite-dimensional representations is one of the most important and most developed parts of the representation theory of groups. (Mathematics) [66%] 2023-09-13
7. Finite group: A group with finitely many elements. The number of elements is called the order of the group. (Mathematics) [65%] 2023-10-17
8. Finite group: In abstract algebra, a finite group is a group whose underlying set is finite. Finite groups often arise when considering symmetry of mathematical or physical objects, when those objects admit just a finite number of structure-preserving transformations. (Mathematical group based upon a finite number of elements) [65%] 2023-12-12 [Finite groups] [Properties of groups]...
9. 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) [63%] 2021-12-22 [Representation theory of Lie groups] [Special relativity]...
10. 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 ... [63%] 2023-12-14 [Representation theory of finite groups] [Permutations]...
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; it has a variety of representations. [63%] 2023-03-31
12. 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) [63%] 2023-08-25 [Rotational symmetry] [Quantum mechanics]...
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;. (Representation of the symmetry group of spacetime in special relativity) [63%] 2021-12-24 [Representation theory of Lie groups] [Special relativity]...
14. 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. [61%] 2024-01-08 [Neuroscience]
15. 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) [61%] 2023-12-19 [Glossaries of mathematics] [Representation theory]...
16. Representation theorem: In mathematics, a representation theorem is a theorem that states that every abstract structure with certain properties is isomorphic to another (abstract or concrete) structure. (Proof that every structure with certain properties is isomorphic to another structure) [60%] 2023-12-14 [Mathematical theorems]
17. Finite strain theory: In continuum mechanics, the finite strain theory—also called large strain theory, or large deformation theory—deals with deformations in which strains and/or rotations are large enough to invalidate assumptions inherent in infinitesimal strain theory. In this case, the ... (Physics) [59%] 2023-12-13 [Tensors] [Continuum mechanics]...
18. Modular representation theory: Modular representation theory is a branch of mathematics, and is the part of representation theory that studies linear representations of finite groups over a field K of positive characteristic p, necessarily a prime number. As well as having applications to ... (Studies linear representations of finite groups over a field K of positive characteristic p) [58%] 2023-12-15 [Module theory] [Representation theory of finite groups]...