particular the theory of group representations, the regular representation of a group G is the linear representation afforded by the group action of G on itself...
10 KB (1,557 words) - 11:21, 11 January 2024
p-groups Regular prime, a prime number p > 2 that does not divide the class number of the p-th cyclotomic field The regular representation of a group...
7 KB (965 words) - 13:40, 27 July 2024
L_{s}} is a unitary representation of G . {\displaystyle G.} It is called left-regular representation. The right-regular representation is defined similarly...
105 KB (21,307 words) - 16:09, 19 May 2024
Representation theory is a branch of mathematics that studies abstract algebraic structures by representing their elements as linear transformations of...
55 KB (7,184 words) - 17:41, 8 July 2024
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
Cayley's theorem (redirect from Cayley representation theorem)
image of T, which is the subgroup K. T is sometimes called the regular representation of G. An alternative setting uses the language of group actions...
13 KB (1,626 words) - 16:25, 11 November 2023
A regular expression (shortened as regex or regexp), sometimes referred to as rational expression, is a sequence of characters that specifies a match...
100 KB (9,043 words) - 11:06, 26 August 2024
matrix to any element of the field K {\displaystyle K} is called the regular representation. The square matrix A {\displaystyle A} represents the effect of...
52 KB (8,407 words) - 17:41, 28 August 2024
In mathematics, a unitary representation of a group G is a linear representation π of G on a complex Hilbert space V such that π(g) is a unitary operator...
7 KB (980 words) - 13:33, 11 June 2024
induced representation is a representation of a group, G, which is constructed using a known representation of a subgroup H. Given a representation of H...
13 KB (1,781 words) - 23:19, 14 March 2024