• concept of a system of imprimitivity is used in mathematics, particularly in algebra and analysis, both within the context of the theory of group representations...
    18 KB (3,055 words) - 02:05, 29 March 2024
  • the case of unitary representations of locally compact groups, the induction construction can be formulated in terms of systems of imprimitivity. In Lie...
    13 KB (1,781 words) - 21:57, 3 September 2024
  • Thumbnail for George Mackey
    George Mackey (category Members of the United States National Academy of Sciences)
    both in the theory of group representations and in mathematical physics, was played by the concepts of system of imprimitivity and induced representations...
    10 KB (895 words) - 19:57, 7 October 2024
  • analysis of systems of imprimitivity and his general theory of induced representations of locally compact separable groups. The simplest example of a direct...
    17 KB (2,827 words) - 17:33, 6 December 2024
  • 2}\to \operatorname {Sym} ^{2}(V)} . system of imprimitivity A concept in the Mackey theory. See system of imprimitivity. Tannakian duality The Tannakian...
    34 KB (5,011 words) - 21:43, 4 September 2024
  • Wigner's classification (category Representation theory of Lie groups)
    diffeomorphism group Representation theory of the Galilean group Representation theory of the Poincaré group System of imprimitivity Pauli–Lubanski pseudovector Bargmann...
    10 KB (1,422 words) - 21:11, 24 September 2023
  • line imprimitively, having 5 pairs of points that the group preserves set-wise; the automorphism group acts as S5 on these 5 pairs. The Hall plane of order...
    11 KB (1,267 words) - 01:23, 25 February 2024
  • referred to as the index of imprimitivity or the order of cyclicity. Min-max theorem – Variational characterization of eigenvalues of compact Hermitian operators...
    58 KB (8,238 words) - 15:02, 19 November 2024
  • Thumbnail for Pythagorean triple
    Pythagorean triple (category Arithmetic problems of plane geometry)
    action on primitive triples, since it may take a primitive triple to an imprimitive one. It is convenient at this point (per Trautman 1998) to call a triple...
    81 KB (11,397 words) - 11:17, 20 December 2024
  • Compute the limit priorities of the stochastic supermatrix according to whether it is irreducible (primitive or imprimitive [cyclic]) or it is reducible...
    11 KB (1,635 words) - 17:24, 19 March 2024
  • now called intransitive and transitive, and imprimitive and primitive groups, and (1801) uses the group of an equation under the name l'assieme delle permutazioni...
    31 KB (3,571 words) - 00:00, 24 November 2024
  • Thumbnail for Higman–Sims group
    and 77 points. (The latter representation arises because the M22 Steiner system has 77 blocks.) By putting together these two representations, they found...
    17 KB (1,525 words) - 14:15, 15 May 2024
  • of different discriminants and imprimitive forms. He replaced Lagrange's equivalence with the more precise notion of proper equivalence, and this enabled...
    28 KB (4,936 words) - 19:57, 21 March 2024
  • James Michael Gardner Fell (category University of British Columbia alumni)
    (2012). "Fell bundles and imprimitivity theorems". arXiv:1201.5035 [math.OA]. Williams, D. P. (1989). "Book Review: Representations of C*-algebras, locally...
    7 KB (809 words) - 21:04, 21 February 2022
  • Thumbnail for Mathieu group M12
    42:(2 x S3), order 192, imprimitive on 3 sets of 4 A4 x S3, order 72, doubly imprimitive, 4 sets of 3 points. The cycle shape of an element and its conjugate...
    13 KB (1,364 words) - 13:56, 15 May 2024
  • Thumbnail for Mathieu group M24
    and imprimitive. This subgroup was discovered by Frobenius. The subgroup M12 acts differently on 2 sets of 12, reflecting the outer automorphism of M12...
    26 KB (3,009 words) - 11:13, 16 May 2024
  • Thumbnail for Affine symmetric group
    Affine symmetric group (category Wikipedia articles published in WikiJournal of Science)
    1016/0021-8693(91)90300-W, S2CID 124324517 Shi, Jian-Yi (2002), "Certain imprimitive reflection groups and their generic versions", Trans. Amer. Math. Soc...
    71 KB (10,241 words) - 07:35, 7 December 2024