• a Witt vector is an infinite sequence of elements of a commutative ring. Ernst Witt showed how to put a ring structure on the set of Witt vectors, in...
    35 KB (7,358 words) - 16:24, 18 October 2024
  • In mathematics, the complex Witt algebra, named after Ernst Witt, is the Lie algebra of meromorphic vector fields defined on the Riemann sphere that are...
    3 KB (348 words) - 17:21, 13 May 2023
  • of rotations is not. Spinors are elements of a vector subspace of some Clifford algebra. Witt vector, an infinite sequence of elements of a commutative...
    10 KB (2,694 words) - 01:12, 24 October 2024
  • In mathematics, Witt vector cohomology was an early p-adic cohomology theory for algebraic varieties introduced by Serre (1958). Serre constructed it...
    2 KB (172 words) - 21:47, 17 October 2024
  • Shirshov–Witt theorem Witt algebra Witt decomposition Witt design (Witt geometry) Witt group Witt index Witt polynomial Witt ring Grothendieck-Witt ring Witt scheme...
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  • Thumbnail for Ernst Witt
    1991, shortly after his 80th birthday. Witt's work has been highly influential. His invention of the Witt vectors clarifies and generalizes the structure...
    9 KB (875 words) - 15:36, 18 October 2024
  • Thumbnail for Christopher Deninger
    worked together on Witt vectors. In two papers around 2014, they simplified the theory by giving a presentation of the ring of Witt vectors in terms of a completion...
    29 KB (3,515 words) - 21:07, 26 October 2024
  • the Frobenius homomorphism. It was introduced by Witt (1937) as the shift operator on Witt vectors taking (a0, a1, a2, ...) to (0, a0, a1, ...). ("Verschiebung"...
    3 KB (287 words) - 15:39, 18 October 2024
  • Thumbnail for Bhargav Bhatt (mathematician)
    S2CID 119143902. Bhatt, Bhargav; Scholze, Peter (2017). "Projectivity of the Witt vector affine Grassmannian". Inventiones Mathematicae. 209 (2): 329–423. arXiv:1507...
    10 KB (725 words) - 03:02, 23 September 2024
  • is given in the article on Witt vectors, where they provide an important role in providing a ring structure. Witt vector Section 4.3 of Cohen, Henri...
    3 KB (450 words) - 21:53, 25 September 2024