• arXiv:1506.08870 [math.SG]. Mukai, Shigeru (11 January 1999). "Moduli of abelian surfaces and regular polyhedral groups". Moduli of Algebraic Varieties:...
    4 KB (132 words) - 22:30, 29 August 2024
  • algebra and the theory of abelian categories. From 1964 to 2007 he collaborated with Pierre Gabriel on the characterization of abelian categories; their best-known...
    11 KB (1,014 words) - 02:35, 4 September 2024
  • Thumbnail for Yang Chen-Ning
    also well known for his collaboration with Robert Mills in developing non-abelian gauge theory, widely known as the Yang–Mills theory. Yang was born in Hefei...
    30 KB (2,661 words) - 19:48, 7 September 2024
  • Thumbnail for David Mumford
    Invariant Theory, on the equations defining an abelian variety, and on algebraic surfaces. His books Abelian Varieties (with C. P. Ramanujam) and Curves...
    20 KB (2,067 words) - 01:32, 19 August 2024
  • Probability Measures on Locally Compact Abelian groups at Vilnius University and obtained a degree of Doctor of Sciences (Dr. Hab.). In 2018, he was elected...
    6 KB (588 words) - 16:35, 23 November 2023
  • Thumbnail for Vladimir Drinfeld
    Langlands conjectures, when published in 1967, could be seen as a sort of non-abelian class field theory. It postulated the existence of a natural one-to-one...
    9 KB (834 words) - 16:51, 29 June 2024
  • Thumbnail for Multiplication
    number that can be multiplied by zero to result in 1. In this example, an abelian group is had, but that is not always the case. To see this, consider the...
    48 KB (6,261 words) - 14:26, 7 September 2024
  • Russian mathematician (partial differential equations, rotating solids, Abelian functions): 162  Augusta Ada Byron Lovelace (1815–1851), British mathematician: 180 ...
    40 KB (3,932 words) - 15:31, 4 September 2024
  • arithmetic, and more generally the fundamental theorem of finitely generated abelian groups to all Noetherian rings. The Lasker–Noether theorem plays an important...
    65 KB (7,595 words) - 00:41, 6 July 2024
  • Thumbnail for Even and odd functions
    domain and codomain both have a notion of additive inverse. This includes abelian groups, all rings, all fields, and all vector spaces. Thus, for example...
    16 KB (2,473 words) - 21:00, 29 August 2024
  • has written a well-known[citation needed] graduate-level textbook on non-Abelian harmonic analysis and contributed to several subjects in representation...
    14 KB (1,259 words) - 01:19, 4 January 2024
  • Abbasid – Abbas ibn Abd al-Muttalib (as in Abbasid dynasty) abelian – Niels Henrik Abel (as in Abelian group) Abrahamic – Abraham (as in Abrahamic religions)...
    35 KB (3,111 words) - 10:18, 30 August 2024
  • about the Riemann–Schottky problem (characterizing principally polarized abelian varieties that are the Jacobian of some algebraic curve) stated, essentially...
    15 KB (1,345 words) - 15:01, 14 June 2024
  • Thumbnail for Music theory
    tempered octave form an abelian group with 12 elements. It is possible to describe just intonation in terms of a free abelian group. In music theory,...
    117 KB (13,527 words) - 17:23, 22 July 2024
  • Thumbnail for Peter Swinnerton-Dyer
    2018 at the age of 91. Swinnerton-Dyer, H.P.F. (1974), Analytic theory of Abelian varieties, LMS Lecture Notes, vol. 14, Cambridge University Press, ISBN 0-521-20526-3...
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  • inverse problem). There, Herglotz solved a special integral equation of Abelian type. The Herglotz–Noether theorem stated by Herglotz (1909) and independently...
    11 KB (1,077 words) - 21:10, 28 June 2024
  • Thumbnail for Mark Burgess (computer scientist)
    obtain a Doctor of Philosophy in Theoretical Physics (Quantum Field Theory) in Newcastle, in the field of Spontaneous Symmetry Breaking in Non-Abelian Gauge...
    20 KB (2,268 words) - 19:59, 26 April 2024
  • Thumbnail for Aleksei Parshin
    Shafarevich's finiteness conjecture concerning isomorphism classes of abelian varieties via what is known as Parshin's trick, which gives an embedding...
    15 KB (1,323 words) - 15:03, 5 September 2024
  • Thumbnail for Benjamin W. Lee
    and got an insight. He finally succeeded in the renormalization of non-abelian gauge theory and won the Nobel Prize later for this work. David Politzer...
    19 KB (1,704 words) - 03:03, 27 May 2024
  • Thumbnail for Emmy Noether
    contributions to arithmetic geometry. Fitting graduated in 1931 with a thesis on abelian groups and is remembered for his work in group theory, particularly Fitting's...
    127 KB (14,690 words) - 18:48, 2 September 2024
  • geometry; known for his work on complex birational geometry, Hodge theory, abelian varieties, and vector bundles Jane Cronin Scanlon (July 17, 1922 – June...
    185 KB (24,180 words) - 19:01, 30 August 2024
  • Thumbnail for Hagen Kleinert
    1016/0550-3213(75)90547-7. Kleinert H. (1982). "Disorder Version of the Abelian Higgs Model and the Order of the Superconductive Phase Transition" (PDF)...
    19 KB (1,685 words) - 20:53, 5 July 2024
  • Thumbnail for William A. Bardeen
    computed the full, nontrivial structure of the chiral anomaly in non-abelian Yang-Mills gauge theories. This leads to the distinction between the "consistent...
    18 KB (2,195 words) - 15:04, 5 September 2024
  • Thumbnail for Lists of Armenians
    film director and actor Steven Zaillian, screenwriter, producer Hovhannes Abelian, actor, People's Artist of the Armenian SSR Petros Adamian, poet, writer...
    86 KB (9,700 words) - 11:45, 8 September 2024
  • 1945) about equivalence of first-order theories of finitely generated non-abelian free groups (also solved by Zlil Sela) and decidability of this common...
    5 KB (625 words) - 03:04, 21 May 2024
  • Thumbnail for Shiing-Shen Chern
    In 1975, Chen Ning Yang and Chern found out that their research in non-abelian gauge theory and Fiber bundle describe the same theoretical structure,...
    53 KB (6,146 words) - 21:01, 1 September 2024
  • Thumbnail for Alexandre Mikhailovich Vinogradov
    Vilasi, G.; Vinogradov, A.M. (2001). "Gravitational fields with a non-Abelian, bidimensional Lie algebra of symmetries". Physics Letters B. 513 (1–2):...
    26 KB (2,415 words) - 22:09, 27 May 2024
  • the algebraic closure of the field is proved. Ramification theory for abelian extensions is developed. The global class field theory for A-fields is...
    19 KB (2,455 words) - 14:04, 27 May 2024
  • Thumbnail for Alexander Varchenko
    772–775. Varchenko, A. (1984). "Estimate of the Number of Zeros of a Real Abelian Integral Depending on a Parameter and Limit Cycles". Func. Anal. Appl....
    17 KB (2,017 words) - 20:16, 31 May 2024
  • Thumbnail for Yvonne Choquet-Bruhat
    mathematical physics, notably in general relativity, supergravity, and the non-Abelian gauge theories of the standard model. Her work in 1981 with Demetrios Christodoulou...
    18 KB (2,053 words) - 16:49, 25 August 2024