- Fields of abstract algebra
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- Group theory
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- Representation theory of groups
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- Unitary representation theory

- Fields of abstract algebra
- >
- Representation theory
- >
- Representation theory of groups
- >
- Unitary representation theory

- Fields of mathematical analysis
- >
- Harmonic analysis
- >
- Representation theory of groups
- >
- Unitary representation theory

- Group theory
- >
- Representation theory
- >
- Representation theory of groups
- >
- Unitary representation theory

- Representation theory
- >
- Harmonic analysis
- >
- Representation theory of groups
- >
- Unitary representation theory

Representative function

No description available.

Gårding domain

In mathematics, a Gårding domain is a concept in the representation theory of topological groups. The concept is named after the mathematician Lars Gårding. Let G be a topological group and let U be a

Kazhdan's property (T)

In mathematics, a locally compact topological group G has property (T) if the trivial representation is an isolated point in its unitary dual equipped with the Fell topology. Informally, this means th

System of imprimitivity

The concept of system of imprimitivity is used in mathematics, particularly in algebra and analysis, both within the context of the theory of group representations. It was used by George Mackey as the

Peter–Weyl theorem

In mathematics, the Peter–Weyl theorem is a basic result in the theory of harmonic analysis, applying to topological groups that are compact, but are not necessarily abelian. It was initially proved b

Tannaka–Krein duality

In mathematics, Tannaka–Krein duality theory concerns the interaction of a compact topological group and its category of linear representations. It is a natural extension of Pontryagin duality, betwee

Isotypical representation

In group theory, an isotypical, primary or factor representation of a group G is a unitary representation such that any two subrepresentations have equivalent sub-subrepresentations. This is related t

Quasiregular representation

This article addresses the notion of quasiregularity in the context of representation theory and topological algebra. For other notions of quasiregularity in mathematics, see the disambiguation page q

Unitary representation

In mathematics, a unitary representation of a group G is a linear representation π of G on a complex Hilbert space V such that π(g) is a unitary operator for every g ∈ G. The general theory is well-de

Mautner's lemma

In mathematics, Mautner's lemma in representation theory states that if G is a topological group and π a unitary representation of G on a Hilbert space H, then for any x in G, which has conjugates yxy

Principal series representation

In mathematics, the principal series representations of certain kinds of topological group G occur in the case where G is not a compact group. There, by analogy with spectral theory, one expects that

Group algebra of a locally compact group

In functional analysis and related areas of mathematics, the group algebra is any of various constructions to assign to a locally compact group an operator algebra (or more generally a Banach algebra)

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