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...addresses the notion of quasiregularity in the context of [[representation theory]] and [[topological algebra]]. For other notions of quasiregularity in [[ma ...hematics, '''quasiregular representation''' is a concept of representation theory, for a [[locally compact group]] ''G'' and a [[homogeneous space]] ''G''/'' ...

{{short description|Result in representation theory}} ...utner]], 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 ...

In the [[mathematics|mathematical]] field of [[representation theory]], a '''representation of a Lie superalgebra''' is an [[semigroup action|action]] of [[Lie superal Equivalently, a representation of ''L'' is a '''Z'''₂-graded representation of the [[universal enveloping algebra]] of ''L'' which respects the third e ...

...ver diagram''' is a graph representing the [[matter]] content of a [[gauge theory]] that describes [[D-branes]] on [[orbifold]]s. Quiver diagrams may also be ...e [[gauge group]], and each link represents a field in the [[bifundamental representation]] ...

*[[Unitary group]], [[special unitary group]] ***The special unitary group SU(1,1) is the unit sphere in the ring of [[coquaternion]]s. It is th ...

*[[Time–frequency representation]] ==[[Representation theory]]== ...

...r|complex]] [[vector space]] {{math|''V''}}, then the '''complex conjugate representation''' {{math|{{overline|Π}}}} is defined over the [[complex conjugate vector s {{math|{{overline|Π}}}} is also a representation, as one may check explicitly. ...

{{Short description|Representation of a group or algebra in terms of an algebra with quaternionic structure}} ...theory]], a '''quaternionic representation''' is a [[group representation|representation]] on a [[complex number|complex]] vector space ''V'' with an invariant [[qu ...

...at π(''g'') is a [[unitary operator]] for every ''g'' ∈ ''G''. The general theory is well-developed in the case that ''G'' is a [[locally compact]] ([[Hausdo ...antenmechanik]]''. One of the pioneers in constructing a general theory of unitary representations, for any group ''G'' rather than just for particular groups ...

{{Short description|Representation theory of an important group in physics}} ...theory of the [[Poincaré group]]''' is an example of the [[representation theory]] of a [[Lie group]] that is neither a [[compact group]] nor a [[semisimple ...

...ation''' is an [[irreducible representation|irreducible finite-dimensional representation]] of a [[semisimple Lie algebra|semisimple]] Lie group ...roup]] is a fundamental representation. Any finite-dimensional irreducible representation of a semisimple Lie group or Lie algebra can be constructed from the fundam ...

In [[quantum field theory]], the '''Dirac adjoint''' defines the [[dual vector space|dual]] operation ...ry operator|unitary]]. That is, if <math>\lambda</math> is a [[projective representation]] of some Lorentz transformation, ...

...[[modular form]] theory. In the contemporary formulation of [[automorphic representation]]s, representations take the place of [[holomorphic function]]s; these repr ...sp forms, each [[Hecke eigenform]] ([[newform]]) corresponds to a cuspidal representation. ...

{{Short description|Group representation}} {{about|a mathematical concept|the psychological concept|Dual representation (psychology)|other uses}} ...

{{Short description|Construction in representation theory}} ...adic Lie groups.<ref>{{Citation | last=Howe | first=Roger | title=Kirillov theory for compact p-adic groups | year=1977 | journal=[[Pacific Journal of Mathem ...

...ry group''' {{math|PU(''n'')}} is the [[quotient group|quotient]] of the [[unitary group]] {{math|U(''n'')}} by the right multiplication of its [[centre of a ...Thus, elements of {{math|PU(''n'')}} correspond to equivalence classes of unitary matrices under multiplication by a constant phase {{mvar|θ}}. ...

...gebra over a field|algebras]] by matrices in linear algebra|representation theory}} '''Matrix representation''' is a method used by a [[computer language]] to store column-vector [[mat ...

In mathematics, '''Clifford theory''', introduced by {{harvtxt|Alfred H. Clifford|1937}}, describes the relati '''Theorem'''. Let π: ''G'' → GL(''n'',''K'') be an irreducible representation with ''K'' a [[field (mathematics)|field]]. Then the restriction of π to '' ...

...nd fields in physics—see the article [[particle physics and representation theory]]. It relies on the [[Stabilizer subgroup|stabilizer subgroups]] of that gr ...>~P = (m, 0, 0, 0 ) ~</math> is a [[Representations of Lie groups/algebras|representation]] of [[Special orthogonal group|SO(3)]]. ...

{{Short description|Representation theory of the symmetries of non-relativistic quantum space}} ...ssification]] of relativistic mechanics) in terms of the '''representation theory of the [[Galilean group]]''', which is the spacetime [[symmetry group]] of ...