In the mathematical field of representation theory, group representations describe abstract groups in terms of bijective linear transformations of a vector...

A group representation constituency (GRC) is a type of electoral division or constituency in Singapore in which teams of candidates, instead of individual...

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...

The Aljunied Group Representation Constituency is a five-member group representation constituency (GRC) in the north-eastern and eastern region of Singapore...

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...

democracy, type of democracy in which elected officials represent a group of people Representation in contract law, a pre-contractual statement that may (if untrue)...

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...

The Tampines Group Representation Constituency is a five-member Group Representation Constituency (GRC) in the eastern region of Singapore. The GRC encompasses...

The Sengkang Group Representation Constituency is a four-member Group Representation Constituency (GRC) in the north-eastern region of Singapore. It consists...

In mathematics, the representation theory of the symmetric group is a particular case of the representation theory of finite groups, for which a concrete...

The Sembawang Group Representation Constituency is a five-member Group Representation Constituency (GRC) located in the northern area of Singapore. The...

which elements of a group are represented by invertible matrices such that the group operation is matrix multiplication. Representation theory is a useful...

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...

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...

The Jurong Group Representation Constituency is a five-member Group Representation Constituency located in the western area of Singapore. The GRC consists...

In mathematics, specifically in the representation theory of groups and algebras, an irreducible representation ( ρ , V ) {\displaystyle (\rho ,V)} or...

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...

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...

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....

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...

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...

The Marine Parade Group Representation Constituency is a five-member Group Representation Constituency (GRC) located in the central, eastern and north-eastern...

The Tanjong Pagar Group Representation Constituency is a five-member Group Representation Constituency (GRC) in Central and Western Singapore. The five...

The West Coast Group Representation Constituency is a five-member Group Representation Constituency (GRC) located in the western as well as the central...

Coast Group Representation Constituency is a five-member Group Representation Constituency in the eastern area of Singapore. The areas of the Group Representation...

relativistic mechanics) in terms of the representation theory of the Galilean group, which is the spacetime symmetry group of nonrelativistic quantum mechanics...

Compact groups have a well-understood theory, in relation to group actions and representation theory. In the following we will assume all groups are Hausdorff...

or Group Representation Constituencies (GRCs). SMCs are single-seat constituencies but GRCs have between four and five seats in Parliament. Group Representation...

the representation theory of Lie groups, the study of representations of SU(2) is fundamental to the study of representations of semisimple Lie groups. It...

In mathematics, if G is a group and ρ is a linear representation of it on the vector space V, then the dual representation ρ* is defined over the dual...