Labour Representation Committee (1606 bytes)
1: ...is the direct predecessor of the modern [[British Labour Party]].
3: ... promoting legislation in the direct interests of labour."
5: ...possible the Conference established the LRC. This committee included two members from the ILP, two from the S...
7: ...he LRC decided to formally change its name to the Labour Party.
10: [[Category:UK Labour Party]]

Labour Representation Committee (in Manitoba) (2148 bytes)
1: ... 1912, and was based on a [[Labour Representation Committee|British organization of the same name]].
3: ...ty which had previously existed between reformist labour groups and the [[Socialist Party of Canada]] (fro...
9: ...the LRC in 1914-15 officially ran as "Independent Labour".
11: ...he [[Dominion Labour Party (in Manitoba)|Dominion Labour Party]] in [[Winnipeg, Manitoba|Winnipeg]].

Labour Representation League (469 bytes)
1: ...forerunner of the [[British]] [[Labour Party (UK)|Labour Party]]. Its original purpose was to register th...
4: ...istorysociety.co.uk/mortimer.htm Formation of the Labour Party] by Jim Mortimer.

Labour - Federation of Labour Groups (3459 bytes)
1: ... aspire to become part of the [[Labour Party (UK)|Labour Party of Great Britain]].
5: ...ars this gap was filled by the [[Northern Ireland Labour Party]] which had links to the British party and,...
7: ...rom the Conservatives whilst both Norther Ireland Labour and Liberals declined to virtual electoral insign...
9: ...oups have contested elections in the province as "Labour".
11: ...re formally registered as "Labour - Federation of Labour Groups".

Highest weight representation and lowest weight representation (619 bytes)
1: ...ion theory]], the space of all possible [[weight (representation theory)|weights]] is a vector space. Let's fix a ...
3: Then, a [[representation theory|representation]] is said to have '''highest weight''' λ i...

Representation (996 bytes)
1: * In [[mathematics]], a [[group representation]] is a way of viewing a [[group (mathematics)| gr...
2: * [[Knowledge representation]] is a search for formal ways to describe knowled...
3: * In [[object-oriented programming]], representation is the logical meaning of an object.
4: * In [[fine art]] the discussion of ''representation'' refers to both the [[methodology]] of [[portrai...
5: * Representation is also a key topic in the [[philosophy of mind]]...

Dual representation (1101 bytes)
1: ... it over the [[vector space]] V, then the '''dual representation''' <math>\bar{\rho}</math> is defined over the [[...
5: <math>\bar{\rho}</math> is also a representation, as you may check explicitly.
7: ...tion of it over the vector space V, then the dual representation <math>\bar{\rho}</math> is defined over the dual ...
11: <math>\bar{\rho}</math> is also a representation, as you may check explicitly.
13: ..., a general ring [[module]] does not admit a dual representation.

Affine representation (1067 bytes)
1: An '''affine representation''' of a [[topological group|topological]] ([[Lie ...
5: ... space]]: in that case, we actually have a linear representation in dimension ''n''. This reduction depends on a [...
7: See also [[projective representation]], [[group action]].
13: [[Category:Representation theory]]

Representation theory of SU(2) (3744 bytes)
1: ...ons]] of [[SU(2)]] is fundamental to the study of representations of [[semisimple Lie group]]s.
3: ...e look at [[representation theory of Lie algebras|representations of the Lie algebra]] <math>\mathfrak{su}(2)</mat...
5: ... theory (at least, if we don't consider [[unitary representation]]s). Then, the Lie algebra is spanned by three el...
11: ...it). Its [[eigenvalue]]s are called the [[weight (representation theory)|weights]].
21: ...is proportional to the identity for [[irreducible representation]]s. The constant of proportionality is called &la...

Induced representation (5160 bytes)
1: ...ense that they include or detect many interesting representations. The idea is by no means limited to the case of ...
3: ...') for computing the decomposition of the induced representation: we can do calculations on the side of H, which i...
5: ...ry theory]]. It actually suggests that '''induced representation''' can in this case be defined by means of the ad...
7: ... right-actions). This approach allows the induced representation to be a kind of [[free module]] construction.
9: ...writing down the character (trace) of the induced representation, in terms of conjugation in G of elements g into ...

Gelfand representation (5400 bytes)
3: ... continuous complex-valued functions. The Gelfand representation theorem is one avenue in the development of [[spe...
38: ...e Gelfand representation, does provide a concrete representation of ''A'' as an algebra of operators.

Regular representation (6705 bytes)
1: ...ar representation''' of a group G is the [[linear representation]] afforded by the [[group action]] of G on itself...
3: ==Significance of the regular representation of a group==
5: ...presentation is a [[direct sum]] of [[irreducible representation]]s, in number at least the number of [[conjugacy ...
9: ... harder mainly because with K[G] not semisimple a representation can fail to be irreducible without splitting as a...
17: ...n-th root of unity]], one can [[diagonalise]] the representation of ''C'' by writing down ''n'' linearly independe...

No taxation without representation (1573 bytes)
1: "'''No taxation without representation'''" was a rallying cry for advocates of [[United ...
3: ...te to the House of Representatives who can sit on committees and participate in debates). An effort to put th...
5: ... said, "It is not sustainable for states to enjoy representation without taxation," in order to criticise the bill...

Trivial representation (868 bytes)
1: ...is representation always exists, and any two such representations over ''K'' are equivalent.
3: ... invariant vectors; so that searching for such subrepresentations is the whole topic of [[invariant theory]].
5: [[Category:Representation theory]]

Representation theory (498 bytes)
1: ...ory''' is the name given to the study of standard representations of abstract mathematical structures.
3: * The [[Group representation|Representation theory of groups]] is concerned with representing...
5: * The Representation theory of [[Boolean algebra]]s is concerned with ...

Symplectic representation (2264 bytes)
1: ...tion. Such representations, amongst [[irreducible representation]]s, can be picked out by the [[Frobenius-Schur in...
3: ...t sum]] of a real representation and a symplectic representation, as satisfying the stated condition to be ''pseud...
5: ...hat is neither real nor symplectic is a [[complex representation]].
7: ... (mathematics)|module]] [[endomorphism]]s for the representation space, there exists for a symplectic represention...
15: ...e is responsible for the phenomenon of pseudoreal representation.

Antifundamental representation (351 bytes)
1: ...n-equivalent, because each of them is a [[complex representation]].

Adjoint representation (3655 bytes)
1: ...elf. The map ''g''&rarr;ad(''g'') is the adjoint representation.
3: ...e [[group action]]. This gives the linear adjoint representation.
7: ...ntation of ''G'' is the trivial ''n''-dimensional representation.
9: *The [[kernel]] of the adjoint representation of ''G'' is the [[center]] of ''G''.
11: ...of real 2&times;2 matrices with [[trace]] 0. The representation is equivalent to that given by the action of ''G'...

Bifundamental representation (421 bytes)
1: ...ined as a [[tensor product]] of two [[fundamental representation]]s.
3: For example, the ''MN''-dimensional representation (''M'',''N'') of the group
6: is a bifundamental representation.
8: These representations occur in [[quiver diagram]]s.

Real representation (1280 bytes)
1: ...ysics]], a '''real representation''' is a [[group representation]] that is equivalent to its
2: ...ike a [[pseudoreal representation]] ([[symplectic representation]]).
8: A [[group representation]] that is neither real nor pseudoreal is called a
9: ...iterion (for compact groups ''G'') for reality of representations in terms of [[character theory]] is based on the...
16: Examples of real representations are the [[spinor]]s in 7 + 8''k'', 8 + 8''k'', a...

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