• reductive groups, but over non-perfect fields Jacques Tits found some examples of pseudo-reductive groups that are not reductive. A pseudo-reductive k-group...
    8 KB (1,102 words) - 17:57, 7 May 2025
  • Thumbnail for Reductive group
    field is reductive if it has a representation that has a finite kernel and is a direct sum of irreducible representations. Reductive groups include some...
    56 KB (8,018 words) - 09:30, 15 April 2025
  • Thumbnail for Algebraic group
    group Morley rank Cherlin–Zilber conjecture Adelic algebraic group Pseudo-reductive group Borel 1991, p.54. Borel 1991, p. 46. Borel 1991, 1.6(2), p. 49....
    16 KB (2,244 words) - 15:28, 15 May 2025
  • Thumbnail for Linear algebraic group
    require reductive groups to be connected.) A semisimple group is reductive. A group G over an arbitrary field k is called semisimple or reductive if G k...
    41 KB (6,000 words) - 12:59, 4 October 2024
  • Thumbnail for Ofer Gabber
    Computer Science, vol 1800, 2003. With Brian Conrad, Gopal Prasad: Pseudo-reductive Groups, Cambridge University Press, 2010; 2015, 2nd edition Gabber rigidity...
    3 KB (210 words) - 23:32, 25 November 2024
  • Thumbnail for Gopal Prasad
    of pseudo-reductive groups, including a Tits-style classification and also many interesting examples. The classification of pseudo-reductive groups already...
    14 KB (1,799 words) - 02:31, 23 September 2024
  • ISBN 978-0-8218-1385-0. OCLC 43032711. Godina, Marco; Matteucci, Paolo (2003). "Reductive G-structures and Lie derivatives". Journal of Geometry and Physics. 47...
    20 KB (2,576 words) - 06:58, 26 June 2023
  • discovered. Unlike the Steinberg groups, the Ree groups are not given by the points of a connected reductive algebraic group defined over a finite field;...
    17 KB (2,067 words) - 23:01, 3 April 2025
  • Thumbnail for Exponential map (Riemannian geometry)
    maps of the Lie group. In general, Lie groups do not have a bi-invariant metric, though all connected semi-simple (or reductive) Lie groups do. The existence...
    9 KB (1,295 words) - 22:19, 25 November 2024
  • Thumbnail for Α-Halo ketone
    Α-Halo ketone (category Functional groups)
    ketones react with phosphites in the Perkow reaction. The halo group can be removed in reductive dehalogenation of halo ketones. α-Halo ketones can also be...
    6 KB (670 words) - 13:34, 30 October 2023
  • an SN2-like mechanism to give a copper(III) species, which undergoes reductive elimination to give the coupling product. When alkyl iodides are used...
    11 KB (1,505 words) - 20:21, 12 July 2024
  • Thumbnail for Symmetric space
    Symmetric space (category Lie groups)
    {\mathfrak {g}}} . Thus any symmetric space is a reductive homogeneous space, but there are many reductive homogeneous spaces which are not symmetric spaces...
    45 KB (4,599 words) - 00:15, 26 May 2025
  • Hunsdiecker-Kochi reactions. The Barton decarboxylation is an unusual radical reductive decarboxylation. As described above, most decarboxylations start with...
    12 KB (1,289 words) - 13:41, 26 May 2025
  • Thumbnail for Methoxy group
    Cornella, Josep; Zarate, Cayetana; Martin, Ruben (2014). "Ni-catalyzed Reductive Cleavage of Methyl 3-Methoxy-2-Naphthoate". Org. Synth. 91: 260–272. doi:10...
    4 KB (410 words) - 10:10, 27 March 2025
  • Thumbnail for Pseudoscience
    Pseudoscience (redirect from PseudoScience)
    characterization. The word pseudoscience is derived from the Greek root pseudo meaning "false" and the English word science, from the Latin word scientia...
    110 KB (11,966 words) - 08:51, 28 May 2025
  • neocortex would be internally generated representations called pseudo-patterns. These pseudo-patterns are approximations of previous inputs and they can...
    34 KB (4,482 words) - 04:31, 9 December 2024
  • far-reaching and complex of human problems are compressed into brief, highly reductive, definitive-sounding phrases, easily memorized and easily expressed. These...
    9 KB (1,039 words) - 02:47, 25 April 2025
  • Classification of simple real Lie algebras – graph encoding the structure of a reductive group over a non-algebraically-closed field, in which vertices are colored...
    5 KB (650 words) - 04:52, 15 September 2024
  • Thumbnail for Robinia pseudoacacia
    common name is false acacia, a literal translation of the specific name (pseudo [Greek ψευδο-] meaning fake or false and acacia referring to the genus of...
    39 KB (4,603 words) - 03:08, 19 May 2025
  • Thumbnail for DuPhos
    1002/adsc.200390031 Enantioselective hydrogenation of the C:N group: a catalytic asymmetric reductive amination procedure Mark J. Burk, John E. Feaster J. Am...
    7 KB (866 words) - 01:15, 17 November 2024
  • Thumbnail for Conformal group
    This group is also known as the Möbius group. In Euclidean space En, n > 2, the conformal group is generated by inversions in hyperspheres. In a pseudo-Euclidean...
    13 KB (1,935 words) - 15:10, 28 January 2025
  • Thumbnail for Mauveine
    Perkin showed mauveine B related to safranines by oxidative/reductive loss of the p-tolyl group. In fact, safranine is a 2,8-dimethyl phenazinium salt, whereas...
    11 KB (1,123 words) - 18:00, 13 May 2024
  • Thumbnail for Linear congruential generator
    congruential generator (LCG) is an algorithm that yields a sequence of pseudo-randomized numbers calculated with a discontinuous piecewise linear equation...
    43 KB (4,861 words) - 15:50, 29 May 2025
  • Thumbnail for Kleinian group
    degenerate groups and space-filling curves associated to pseudo-Anosov maps. Ahlfors measure conjecture Density theorem for Kleinian groups Ending lamination...
    19 KB (2,344 words) - 16:27, 17 May 2025
  • Thumbnail for Croup
    Croup (redirect from Pseudo croup)
    caused by the diphtheria bacterium. False croup has also been known as pseudo croup or spasmodic croup. Croup due to diphtheria has become nearly unknown...
    27 KB (2,734 words) - 18:17, 22 May 2025
  • Thumbnail for CORDIC
    CORDIC (redirect from Pseudo division)
    digit-by-digit algorithms. CORDIC and closely related methods known as pseudo-multiplication and pseudo-division or factor combining are commonly used when no hardware...
    71 KB (7,232 words) - 22:11, 29 May 2025
  • Thumbnail for Binary-coded decimal
    tetrade) while the unused, don't care-states are named pseudo-tetrad(e)s[de], pseudo-decimals, or pseudo-decimal digits. BCD's main virtue, in comparison to...
    115 KB (8,484 words) - 15:33, 10 March 2025
  • setting up PMCs in Russia. Several military analysts described Wagner as a "pseudo-private" military company that offers the Russian military establishment...
    291 KB (23,525 words) - 19:29, 21 May 2025
  • Thumbnail for Holonomy
    Holonomy (redirect from Holonomy group)
    groups are the groups arising as holonomies of torsion-free affine connections; those which are not Riemannian or pseudo-Riemannian holonomy groups are...
    42 KB (5,911 words) - 15:27, 22 November 2024
  • Elliptic curves are applicable for key agreement, digital signatures, pseudo-random generators and other tasks. Indirectly, they can be used for encryption...
    39 KB (4,677 words) - 13:04, 20 May 2025