group and ρ is a linear representation of it on the vector space V, then the dual representation ρ* is defined over the dual vector space V* as follows:...
10 KB (1,699 words) - 19:20, 8 October 2024
Dual representation theory (DRT) is a psychological theory of post-traumatic stress disorder (PTSD) developed by Chris Brewin, Tim Dalgleish, and Stephen...
14 KB (1,663 words) - 23:00, 22 May 2025
Representation theory is a branch of mathematics that studies abstract algebraic structures by representing their elements as linear transformations of...
56 KB (7,331 words) - 15:09, 18 July 2025
psychology and child development Dual representation theory, a theory related to Post Traumatic Stress Disorder Dual representation (law), a legal concept This...
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Dual-coding theory is a theory of cognition that suggests that the mind processes information along two different channels; verbal and nonverbal. It was...
14 KB (1,937 words) - 00:48, 12 July 2025
In the mathematical field of representation theory, group representations describe abstract groups in terms of bijective linear transformations of a vector...
15 KB (2,245 words) - 02:55, 11 May 2025
abelian group G, a fairly complete picture of the representation theory of G is given by Pontryagin duality. In general, the unitary equivalence classes (see...
7 KB (1,003 words) - 13:12, 24 July 2025
In psychology, a dual process theory provides an account of how thought can arise in two different ways, or as a result of two different processes. Often...
58 KB (7,288 words) - 20:26, 6 July 2025
Schur–Weyl duality is a mathematical theorem in representation theory that relates irreducible finite-dimensional representations of the general linear...
9 KB (1,549 words) - 23:52, 9 April 2025
several decades in string theory was the discovery of certain 'dualities'—mathematical transformations that identify one physical theory with another. Physicists...
122 KB (15,298 words) - 19:57, 8 July 2025
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...
22 KB (3,368 words) - 17:09, 14 April 2025
usually collected under the label Stone duality, since they form a natural generalization of Stone's representation theorem for Boolean algebras. These concepts...
15 KB (2,289 words) - 19:58, 5 July 2025
Flashback (psychology) (section Theory)
mechanisms function to inhibit the recall of the original memory. Dual representation theory enhances this idea by suggesting two separate mechanisms that...
29 KB (3,723 words) - 14:17, 8 June 2025
In mathematics, Tannaka–Krein duality theory concerns the interaction of a compact topological group and its category of linear representations. It is...
10 KB (1,422 words) - 03:14, 17 September 2022
Dual abelian variety Dual basis Dual (category theory) Dual code Duality (electrical engineering) Duality (optimization) Dualizing module Dualizing sheaf...
53 KB (6,694 words) - 14:49, 9 June 2025
Spectrum of a C*-algebra (redirect from Dual space of a C*-algebra)
C*-algebra or dual of a C*-algebra A, denoted Â, is the set of unitary equivalence classes of irreducible *-representations of A. A *-representation π of A on...
12 KB (1,753 words) - 20:34, 24 January 2024
pp. 319–345. Brewin, C. R., Dalgleish, T., and Joseph, S., A dual representation theory of posttraumatic stress disorder. Psychological Review, Vol. 103...
73 KB (10,499 words) - 22:56, 17 July 2025
S-duality (short for strong–weak duality, or Sen duality) is an equivalence of two physical theories, which may be either quantum field theories or string...
20 KB (2,506 words) - 04:21, 20 June 2025
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...
105 KB (21,294 words) - 10:21, 1 April 2025
This is a glossary of representation theory in mathematics. The term "module" is often used synonymously for a representation; for the module-theoretic...
34 KB (5,011 words) - 21:43, 4 September 2024
Frobenius reciprocity (category Representation theory of finite groups)
In mathematics, and in particular representation theory, Frobenius reciprocity is a theorem expressing a duality between the process of restricting and...
9 KB (906 words) - 03:41, 4 June 2025
In group theory, restriction forms a representation of a subgroup using a known representation of the whole group. Restriction is a fundamental construction...
22 KB (3,061 words) - 17:00, 18 July 2025
double-aspect theory is the view that the mental and the physical are two aspects of, or perspectives on, the same substance. It is also called dual-aspect monism...
6 KB (1,016 words) - 14:28, 9 March 2025
it was realized that type IIA string theory is related to type IIB string theory by T-duality. Superstring theory Type I string Heterotic string Green...
9 KB (1,126 words) - 23:27, 23 May 2025
duality for this case. Representation theory of connected compact groups Lie algebra representation Projective representation Representation theory of...
34 KB (5,243 words) - 12:03, 19 July 2025
Kazhdan's property (T) (category Unitary representation theory)
unitary dual. Property (T) has important applications to group representation theory, lattices in algebraic groups over local fields, ergodic theory, geometric...
13 KB (1,756 words) - 07:25, 8 April 2025
In mathematics, duality theory for distributive lattices provides three different (but closely related) representations of bounded distributive lattices...
6 KB (599 words) - 16:40, 2 May 2025
In mathematics, the representation theory of the symmetric group is a particular case of the representation theory of finite groups, for which a concrete...
20 KB (2,840 words) - 08:32, 1 July 2025
field of representation theory a real representation is usually a representation on a real vector space U, but it can also mean a representation on a complex...
4 KB (638 words) - 08:16, 2 October 2023
experience with symbols. An essential part of representational insight is dual representation or the existence of multiple mental representations of a single symbolic...
19 KB (2,638 words) - 10:55, 31 October 2024