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...

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...

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

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

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

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)...

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...

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...

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...

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

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 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...

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

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

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

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

and in particular the theory of group representations, the regular representation of a group G is the linear representation afforded by the group action...

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...

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

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...

In group theory, restriction forms a representation of a subgroup using a known representation of the whole group. Restriction is a fundamental construction...

In the mathematical field of representation theory, a quaternionic representation is a representation on a complex vector space V with an invariant quaternionic...

V} . Serre 2001, Ch. VII, § 6. Etingof, Pavel. "Lecture Notes on Representation Theory". Kac, Victor (1990). "Integrable Representations of Kac–Moody Algebras...

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

In group theory, the induced representation is a representation of a group, G, which is constructed using a known representation of a subgroup H. Given...

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

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