Search for "Representation theory" in article titles:

1. 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) [100%] 2023-12-16 [Representation theory]
2. 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) [100%] 2023-05-22
3. Representation theory of SU(2): In the study of the representation theory of Lie groups, the study of representations of SU(2) is fundamental to the study of representations of semisimple Lie groups. It is the first case of a Lie group that is both ... (First case of a Lie group that is both compact and non-abelian) [70%] 2024-01-09 [Representation theory of Lie groups] [Rotation in three dimensions]...
4. Representation theory of SL2(R): In mathematics, the main results concerning irreducible unitary representations of the Lie group SL(2,R) are due to Gelfand and Naimark (1946), V. Bargmann (1947), and Harish-Chandra (1952). [70%] 2023-07-20 [Representation theory of Lie groups]
5. Representation theory of SU(2): In the study of the representation theory of Lie groups, the study of representations of SU(2) is fundamental to the study of representations of semisimple Lie groups. It is the first case of a Lie group that is both ... (First case of a Lie group that is both compact and non-abelian) [70%] 2023-08-14 [Representation theory of Lie groups] [Rotation in three dimensions]...
6. Representation theory of SL2(R): In mathematics, the main results concerning irreducible unitary representations of the Lie group SL(2,R) are due to Gelfand and Naimark (1946), V. Bargmann (1947), and Harish-Chandra (1952). [70%] 2023-01-23 [Representation theory of Lie groups]
7. 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]
8. Representation theory of Hopf algebras: In abstract algebra, a representation of a Hopf algebra is a representation of its underlying associative algebra. That is, a representation of a Hopf algebra H over a field K is a K-vector space V with an action H ... [63%] 2023-11-22 [Hopf algebras] [Representation theory]...
9. 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]
10. 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]
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) [57%] 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 ... [57%] 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. [57%] 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) [57%] 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) [57%] 2021-12-24 [Representation theory of Lie groups] [Special relativity]...
16. 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. [57%] 2024-06-03 [Lie algebras]
17. 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) [81%] 2023-12-15 [Module theory] [Representation theory of finite groups]...
18. Discourse Representation Theory: In the early 1980s, Discourse Representation Theory (DRT) was introduced by Hans Kamp as a theoretical framework for dealing with issues in the semantics and pragmatics of anaphora and tense (Kamp 1981); a very similar theory was developed independently by ... (Philosophy) [81%] 2021-12-24
19. Discourse representation theory: In formal linguistics, discourse representation theory (DRT) is a framework for exploring meaning under a formal semantics approach. One of the main differences between DRT-style approaches and traditional Montagovian approaches is that DRT includes a level of abstract mental ... (Philosophy) [81%] 2023-12-05 [Logic]
20. Discourse representation theory: In formal linguistics, discourse representation theory (DRT) is a framework for exploring meaning under a formal semantics approach. One of the main differences between DRT-style approaches and traditional Montagovian approaches is that DRT includes a level of abstract mental ... [81%] 2023-12-21 [Semantics] [Logic]...
21. Weight (representation theory): In the mathematical field of representation theory, a weight of an algebra A over a field F is an algebra homomorphism from A to F, or equivalently, a one-dimensional representation of A over F. It is the algebra analogue ... (Representation theory) [81%] 2023-11-29 [Lie algebras] [Representation theory of Lie algebras]...
22. Dual representation theory: Dual representation theory (DRT) is a psychological theory of post-traumatic stress disorder (PTSD) developed by Chris Brewin, Tim Dalgleish, and Stephen Joseph in 1996. This theory proposes that certain symptoms of PTSD - such as nightmares, flashbacks, and emotional disturbance ... (Biology) [81%] 2023-12-12 [Post-traumatic stress disorder] [Memory disorders]...
23. 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. [70%] 2024-01-08 [Neuroscience]
24. 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) [70%] 2023-12-19 [Glossaries of mathematics] [Representation theory]...
25. List of representation theory topics: This is a list of representation theory topics, by Wikipedia page. See also list of harmonic analysis topics, which is more directed towards the mathematical analysis aspects of representation theory. (none) [63%] 2023-12-17 [Mathematics-related lists] [Representation theory]...
26. Particle physics and representation theory: There is a natural connection between particle physics and representation theory, as first noted in the 1930s by Eugene Wigner. It links the properties of elementary particles to the structure of Lie groups and Lie algebras. (Physics) [63%] 2023-04-16 [Lie algebras] [Representation theory of Lie groups]...
27. Particle physics and representation theory: There is a natural connection between particle physics and representation theory, as first noted in the 1930s by Eugene Wigner. It links the properties of elementary particles to the structure of Lie groups and Lie algebras. (Physics-mathematics connection) [63%] 2024-08-31 [Lie algebras] [Representation theory of Lie groups]...