• In mathematics, a CliffordKlein form is a double coset space Γ\G/H, where G is a reductive Lie group, H a closed subgroup of G, and Γ a discrete subgroup...
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  • Thumbnail for William Kingdon Clifford
    William Kingdon Clifford (4 May 1845 – 3 March 1879) was a British mathematician and philosopher. Building on the work of Hermann Grassmann, he introduced...
    37 KB (4,224 words) - 12:02, 26 February 2025
  • Thumbnail for Spacetime topology
    one is an invariant set under the unit hyperbola group. 4-manifold Clifford-Klein form Closed timelike curve Complex spacetime Geometrodynamics Gravitational...
    6 KB (773 words) - 19:04, 8 December 2024
  • Thumbnail for Coset
    for solving Rubik's Cube relies heavily on cosets. In geometry, a CliffordKlein form is a double coset space Γ \ G / H, where G is a reductive Lie group...
    28 KB (3,443 words) - 04:43, 23 January 2025
  • Kleinian group Discrete Heisenberg group CliffordKlein form Borel subgroup Arithmetic group Dunkl operator Modular form Langlands program Sophus Lie (1842...
    4 KB (360 words) - 19:55, 10 January 2024
  • right-invariant by a subgroup K can form a commutative ring under convolution: see Gelfand pair. In geometry, a CliffordKlein form is a double coset space Γ\G/H...
    20 KB (3,048 words) - 05:37, 21 March 2025
  • Thumbnail for Homogeneous space
    group action. One can go further to double coset spaces, notably CliffordKlein forms Γ\G/H, where Γ is a discrete subgroup (of G) acting properly discontinuously...
    15 KB (1,825 words) - 02:56, 3 May 2025
  • In mathematics, a spherical 3-manifold M is a 3-manifold of the form M = S 3 / Γ {\displaystyle M=S^{3}/\Gamma } where Γ {\displaystyle \Gamma } is a finite...
    8 KB (1,378 words) - 21:27, 18 August 2024
  • Klein's icosahedral cubic surface Klein's j-invariant Beltrami–Klein model Cayley–Klein metric CliffordKlein form Schottky–Klein prime form Klein's Encyclopedia...
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  • 1227–1287, ISSN 0373-2436, MR 0522939 Borel, Armand (1963), "Compact Clifford-Klein forms of symmetric spaces", Topology, 2 (1–2): 111–122, doi:10.1016/0040-9383(63)90026-0...
    10 KB (1,151 words) - 21:11, 14 April 2025
  • 18:52, Hannah messaged her boyfriend, Alex Klein, asking him to call the police and telling him that Clifford was tying her up, before her phone was set...
    19 KB (2,009 words) - 20:50, 9 April 2025
  • which are all mutually conjugate in SO(4). See also Clifford torus. All left-isoclinic rotations form a noncommutative subgroup S3L of SO(4), which is isomorphic...
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  • Thumbnail for LANY
    LANY (redirect from Paul Klein (musician))
    from Los Angeles. Formed in Nashville in 2014, the band consists of guitarist and lead vocalist Paul Jason Klein and drummer Jake Clifford Goss. Signed to...
    42 KB (3,080 words) - 06:34, 16 March 2025
  • Thumbnail for Möbius strip
    carefully chosen cut to produce two Möbius strips. For a form of the Klein bottle known as Lawson's Klein bottle, the curve along which it is sliced can be made...
    88 KB (9,636 words) - 23:19, 30 April 2025
  • Zehra Husain Gary Gibbons Clifford V. Johnson Michio Kaku Renata Kallosh Theodor Kaluza Anton Kapustin Igor Klebanov Oskar Klein Juan Martín Maldacena Donald...
    5 KB (430 words) - 18:55, 8 December 2023
  • quadratic form Q {\displaystyle Q} . The pin group Pin ⁡ ( V , Q ) {\displaystyle \operatorname {Pin} (V,Q)} is the subset of the Clifford algebra Cl...
    15 KB (2,502 words) - 15:43, 25 March 2025
  • Dirac algebra (category Clifford algebras)
    In mathematical physics, the Dirac algebra is the Clifford algebra Cl 1 , 3 ( C ) {\displaystyle {\text{Cl}}_{1,3}(\mathbb {C} )} . This was introduced...
    15 KB (2,342 words) - 23:31, 7 April 2025
  • Thumbnail for Cross-ratio
    The English term "cross-ratio" was introduced in 1878 by William Kingdon Clifford. If A, B, C, and D are four points on an oriented affine line, their cross...
    30 KB (4,844 words) - 22:03, 13 May 2025
  • Thumbnail for Dirac equation in curved spacetime
    Just as with the Dirac equation on flat spacetime, we make use of the Clifford algebra, a set of four gamma matrices { γ μ } {\displaystyle \{\gamma ^{\mu...
    13 KB (2,309 words) - 06:15, 31 March 2025
  • Thumbnail for Waardenburg syndrome
    bulb in the brain may also be present. Also known as Klein–Waardenburg syndrome, or Waardenburg–Klein syndrome, type 3 has the same symptoms as type 1 (and...
    49 KB (5,791 words) - 17:58, 4 May 2025
  • Thumbnail for Cayley–Klein metric
    Klein (1873) Klein (1893a) Klein (1893b) Fricke & Klein (1897) Klein (1910) Klein (1926) Klein (1928) Klein (1928), p. 163 Klein (1928), p. 138 Klein...
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  • Church of Humanity Unchained and chaplain of Mayhew Steading Flag in Exile Clifford, Cheryl RMN Petty Officer First-Class, acting quartermaster, HMS Hexapuma...
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  • Kähler groups. Without the Kähler condition, the situation is simple: Clifford Taubes showed that every finitely presented group arises as the fundamental...
    33 KB (4,739 words) - 20:31, 30 April 2025
  • Thumbnail for Nancy Lieberman
    moved to Far Rockaway, Queens, where she grew up with her older brother Clifford. She lost great-grandparents in the Holocaust, and her paternal grandparents...
    40 KB (3,304 words) - 17:40, 4 May 2025
  • created some 50 years earlier by the English mathematician W. K. Clifford. In turn, Clifford's ideas had emerged from the mid-19th-century work of German mathematician...
    79 KB (13,120 words) - 13:01, 16 May 2025
  • Yul Brynner and George Segal. It was based on a 1957 teleplay by Larry Klein that appeared on Playhouse 90. A lone Creole gunfighter, Jules, burdened...
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  • Thumbnail for Concordia Senior College
    Lutheran pastor and the former president of the Atlantic District of the LCMS Clifford Flanigan - American professor of English, medievalist, and theatre historian...
    5 KB (346 words) - 07:29, 23 December 2023
  • of Americans joined the throngs headed to Paris. American artists, who formed the largest contingent of foreign painters and sculptors in Paris, were...
    13 KB (1,324 words) - 05:42, 9 May 2025
  • abused, tortured, beat, and starved her servants. It was not until Mary Clifford, one of her servants, died from infected wounds that she was finally exposed...
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  • Thumbnail for Cauchy–Riemann equations
    great interest in the theory of solitons and integrable systems. In the Clifford algebra C ℓ ( 2 ) {\displaystyle C\ell (2)} , the complex number z = x...
    34 KB (5,011 words) - 14:50, 1 April 2025