• Thumbnail for Group representation
    In the mathematical field of representation theory, group representations describe abstract groups in terms of bijective linear transformations of a vector...
    15 KB (2,136 words) - 13:51, 22 June 2024
  • Thumbnail for Group representation constituency
    A group representation constituency (GRC) is a type of electoral division or constituency in Singapore in which teams of candidates, instead of individual...
    43 KB (5,366 words) - 10:24, 26 September 2024
  • 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...
    105 KB (21,307 words) - 20:52, 9 October 2024
  • Thumbnail for Aljunied Group Representation Constituency
    The Aljunied Group Representation Constituency is a five-member group representation constituency (GRC) in the north-eastern and eastern region of Singapore...
    11 KB (373 words) - 22:41, 27 October 2024
  • Thumbnail for Representation of a Lie group
    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...
    34 KB (5,242 words) - 12:15, 30 June 2024
  • 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)...
    3 KB (391 words) - 00:07, 3 September 2024
  • Thumbnail for Adjoint representation
    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...
    21 KB (3,516 words) - 09:22, 26 August 2024
  • Thumbnail for Tampines Group Representation Constituency
    The Tampines Group Representation Constituency is a five-member Group Representation Constituency (GRC) in the eastern region of Singapore. The GRC encompasses...
    11 KB (128 words) - 15:23, 13 October 2024
  • Thumbnail for Sengkang Group Representation Constituency
    The Sengkang Group Representation Constituency is a four-member Group Representation Constituency (GRC) in the north-eastern region of Singapore. It consists...
    7 KB (498 words) - 15:22, 13 October 2024
  • In mathematics, the representation theory of the symmetric group is a particular case of the representation theory of finite groups, for which a concrete...
    20 KB (2,840 words) - 17:18, 21 January 2024
  • Thumbnail for Sembawang Group Representation Constituency
    The Sembawang Group Representation Constituency is a five-member Group Representation Constituency (GRC) located in the northern area of Singapore. The...
    10 KB (126 words) - 18:54, 30 August 2024
  • Thumbnail for Representation theory
    which elements of a group are represented by invertible matrices such that the group operation is matrix multiplication. Representation theory is a useful...
    55 KB (7,184 words) - 17:41, 8 July 2024
  • Thumbnail for Representation theory of the Poincaré group
    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...
    5 KB (584 words) - 13:23, 26 May 2024
  • 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...
    7 KB (833 words) - 15:35, 23 April 2024
  • Thumbnail for Jurong Group Representation Constituency
    The Jurong Group Representation Constituency is a five-member Group Representation Constituency located in the western area of Singapore. The GRC consists...
    12 KB (578 words) - 06:46, 28 October 2024
  • Thumbnail for Irreducible representation
    In mathematics, specifically in the representation theory of groups and algebras, an irreducible representation ( ρ , V ) {\displaystyle (\rho ,V)} or...
    21 KB (2,797 words) - 10:26, 28 June 2024
  • Thumbnail for Representation theory of the Lorentz group
    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...
    149 KB (19,750 words) - 15:33, 21 June 2024
  • 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...
    24 KB (3,518 words) - 04:42, 6 June 2024
  • 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....
    13 KB (1,626 words) - 16:25, 11 November 2023
  • 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...
    5 KB (688 words) - 18:43, 9 February 2022
  • 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...
    25 KB (4,249 words) - 22:08, 28 October 2024
  • Thumbnail for Marine Parade Group Representation Constituency
    The Marine Parade Group Representation Constituency is a five-member Group Representation Constituency (GRC) located in the central, eastern and north-eastern...
    13 KB (162 words) - 15:22, 13 October 2024
  • Thumbnail for Tanjong Pagar Group Representation Constituency
    The Tanjong Pagar Group Representation Constituency is a five-member Group Representation Constituency (GRC) in Central and Western Singapore. The five...
    11 KB (258 words) - 18:40, 30 August 2024
  • Thumbnail for West Coast Group Representation Constituency
    The West Coast Group Representation Constituency is a five-member Group Representation Constituency (GRC) located in the western as well as the central...
    11 KB (259 words) - 15:20, 13 October 2024
  • Thumbnail for East Coast Group Representation Constituency
    Coast Group Representation Constituency is a five-member Group Representation Constituency in the eastern area of Singapore. The areas of the Group Representation...
    12 KB (477 words) - 18:38, 30 August 2024
  • Thumbnail for Representation theory of the Galilean group
    relativistic mechanics) in terms of the representation theory of the Galilean group, which is the spacetime symmetry group of nonrelativistic quantum mechanics...
    10 KB (1,472 words) - 14:45, 21 June 2024
  • Thumbnail for Compact group
    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...
    30 KB (4,472 words) - 09:28, 18 October 2022
  • Thumbnail for Constituencies of Singapore
    or Group Representation Constituencies (GRCs). SMCs are single-seat constituencies but GRCs have between four and five seats in Parliament. Group Representation...
    12 KB (852 words) - 13:05, 16 September 2024
  • 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...
    19 KB (3,369 words) - 05:42, 25 June 2024
  • 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...
    10 KB (1,699 words) - 19:20, 8 October 2024