Representation theory is a branch of mathematics that studies abstract algebraic structures by representing their elements as linear transformations of...
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In the mathematical field of representation theory, group representations describe abstract groups in terms of bijective linear transformations of a vector...
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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...
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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...
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Modular representation theory is a branch of mathematics, and is the part of representation theory that studies linear representations of finite groups...
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In formal linguistics, discourse representation theory (DRT) is a framework for exploring meaning under a formal semantics approach. One of the main differences...
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In mathematics, specifically in the representation theory of groups and algebras, an irreducible representation ( ρ , V ) {\displaystyle (\rho ,V)} or...
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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)...
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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...
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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...
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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...
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Special unitary group (section Representation theory)
looking at the induced long exact sequence on homotopy groups. The representation theory of SU(3) is well-understood. Descriptions of these representations...
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Compact group (redirect from Representation theory of a connected compact Lie group)
fashion. Compact groups have a well-understood theory, in relation to group actions and representation theory. In the following we will assume all groups...
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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...
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Representation theory (RT) is a theoretical linguistic framework in the generative tradition, created and developed by Edwin S. Williams – chiefly in...
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There is a natural connection between particle physics and representation theory, as first noted in the 1930s by Eugene Wigner. It links the properties...
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the Lorentz group is deduced using the general framework of the representation theory of semisimple Lie algebras. The finite-dimensional representations...
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Dual representation theory (DRT) is a psychological theory of post-traumatic stress disorder (PTSD) developed by Chris Brewin, Tim Dalgleish, and Stephen...
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and in particular the theory of group representations, the regular representation of a group G is the linear representation afforded by the group action...
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Lie algebra (section Goals of representation theory)
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...
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In mathematics and computer science, graph theory is the study of graphs, which are mathematical structures used to model pairwise relations between objects...
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In mathematics, the representation theory of the symmetric group is a particular case of the representation theory of finite groups, for which a concrete...
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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...
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In group theory, restriction forms a representation of a subgroup using a known representation of the whole group. Restriction is a fundamental construction...
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In the mathematical field of representation theory, a quaternionic representation is a representation on a complex vector space V with an invariant quaternionic...
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Special linear Lie algebra (redirect from Representation theory of sl 2)
V} . Serre 2001, Ch. VII, § 6. Etingof, Pavel. "Lecture Notes on Representation Theory". Kac, Victor (1990). "Integrable Representations of Kac–Moody Algebras...
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Representation theory of connected compact groups Lie algebra representation Projective representation Representation theory of SU(2) Representation theory...
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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...
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group theory and the closely related representation theory have many important applications in physics, chemistry, and materials science. Group theory is...
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communication among the members of groups and communities. Social representation theory is a body of theory within social psychology and sociological social psychology...
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