Representation theory is a branch of mathematics that studies abstract algebraic structures by representing their elements as linear transformations of...

In the mathematical field of representation theory, group representations describe abstract groups in terms of bijective linear transformations of a vector...

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...

In formal linguistics, discourse representation theory (DRT) is a framework for exploring meaning under a formal semantics approach. One of the main differences...

Modular representation theory is a branch of mathematics, and is the part of representation theory that studies linear representations 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...

In mathematics, specifically in the representation theory of groups and algebras, an irreducible representation ( ρ , V ) {\displaystyle (\rho ,V)} or...

Representation theory (RT) is a theoretical linguistic framework in the generative tradition, created and developed by Edwin S. Williams – chiefly in...

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...

the Lorentz group is deduced using the general framework of the representation theory of semisimple Lie algebras. The finite-dimensional representations...

In the mathematical field of representation theory, a Lie algebra representation or representation of a Lie algebra is a way of writing a Lie algebra...

There is a natural connection between particle physics and representation theory, as first noted in the 1930s by Eugene Wigner. It links the properties...

Representation theory of connected compact groups Lie algebra representation Projective representation Representation theory of SU(2) Representation theory...

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...

fashion. Compact groups have a well-understood theory, in relation to group actions and representation theory. In the following we will assume all groups...

In mathematics and computer science, graph theory is the study of graphs, which are mathematical structures used to model pairwise relations between objects...

In mathematics, more specifically in group theory, the character of a group representation is a function on the group that associates to each group element...

This is a glossary of representation theory in mathematics. The term "module" is often used synonymously for a representation; for the module-theoretic...

group theory and the closely related representation theory have many important applications in physics, chemistry, and materials science. Group theory is...

is an important result, the primary goal of representation theory is not to find a faithful representation of a given Lie algebra g {\displaystyle {\mathfrak...

looking at the induced long exact sequence on homotopy groups. The representation theory of SU(3) is well-understood. Descriptions of these representations...

Dual representation theory (DRT) is a psychological theory of post-traumatic stress disorder (PTSD) developed by Chris Brewin, Tim Dalgleish, and Stephen...

In mathematics, the representation theory of the symmetric group is a particular case of the representation theory of finite groups, for which a concrete...

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)...

The history of representation theory concerns the mathematical development of the study of objects in abstract algebra, notably groups, by describing...

noncommutative algebras and hypercomplex numbers and united the representation theory of groups with the theory of modules and ideals. In addition to her own publications...

In the field of representation theory in mathematics, a projective representation of a group G on a vector space V over a field F is a group homomorphism...

aspects of representation theory. See also: Glossary of representation theory Linear representation Unitary representation Trivial representation Irreducible...

communication among the members of groups and communities. Social representation theory is a body of theory within social psychology and sociological social psychology...

In the mathematical field of representation theory, a trivial representation is a representation (V, φ) of a group G on which all elements of G act as...