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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theoretical physics, a representation of a Lie group is a linear action of a Lie group on a vector space. Equivalently, a representation is a smooth homomorphism...
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The Punggol Group Representation Constituency is a four-member Group Representation Constituency (GRC) in the north-eastern region of Singapore. It consists...
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A group representation constituency (GRC) is a type of electoral division or constituency in Singapore in which teams of candidates, instead of individual...
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The Tampines Group Representation Constituency is a five-member Group Representation Constituency (GRC) in the eastern region of Singapore. The GRC encompasses...
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The Aljunied Group Representation Constituency is a five-member group representation constituency (GRC) in the north-eastern and eastern region of Singapore...
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Coast Group Representation Constituency is a five-member Group Representation Constituency in the eastern area of Singapore. The areas of the Group Representation...
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The Sengkang Group Representation Constituency is a four-member Group Representation Constituency (GRC) in the north-eastern region of Singapore. It was...
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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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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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The Tanjong Pagar Group Representation Constituency is a five-member Group Representation Constituency (GRC) in Central and Western Singapore. The five...
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adjoint representation (or adjoint action) of a Lie group G is a way of representing the elements of the group as linear transformations of the group's Lie...
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The Sembawang Group Representation Constituency is a five-member Group Representation Constituency (GRC) located in the northern area of Singapore. The...
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Character theory (redirect from Character of a representation of a group)
more specifically in group theory, the character of a group representation is a function on the group that associates to each group element the trace of...
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From this point of view, quaternionic representation of a group G is a group homomorphism φ: G → GL(V, H), the group of invertible quaternion-linear transformations...
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The Marine Parade Group Representation Constituency was a five-member Group Representation Constituency (GRC) located in the central, eastern and north-eastern...
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which elements of a group are represented by invertible matrices such that the group operation is matrix multiplication. Representation theory is a useful...
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representations of the Lie algebra of the Lorentz group is deduced using the general framework of the representation theory of semisimple Lie algebras. The finite-dimensional...
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The Nee Soon Group Representation Constituency is a five-member Group Representation Constituency (GRC) in the north region of Singapore. The GRC was...
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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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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 nor a semisimple...
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for the representation theory of the group of diffeomorphisms of a smooth manifold M is the initial observation that (for M connected) that group acts transitively...
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The Pasir Ris-Changi Group Representation Constituency is a four-member Group Representation Constituency (GRC) in the eastern region of Singapore. It...
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The Jurong East–Bukit Batok Group Representation Constituency is a five-member group representation constituency (GRC) in the western region of Singapore...
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The Jurong Group Representation Constituency was a five-member Group Representation Constituency (GRC) located in the western area of Singapore. The GRC...
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The West Coast–Jurong West Group Representation Constituency is a five-member group representation constituency (GRC) in the western region of Singapore...
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The Marine Parade–Braddell Heights Group Representation Constituency is a five-member group representation constituency (GRC) in the eastern region of...
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Cayley's theorem (redirect from Cayley representation theorem)
every group is cancellative). Thus G is isomorphic to the image of T, which is the subgroup K. T is sometimes called the regular representation of G....
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Brickworks Group Representation Constituency (GRC) was a Group Representation Constituency in Bukit Merah, Queenstown and Clementi, Singapore from 1988...
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The Pasir Ris–Punggol Group Representation Constituency was a five-member Group Representation Constituency (GRC) in the north-eastern and eastern regions...
12 KB (426 words) - 07:56, 25 May 2025