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Witt vector

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  • Witt vector — In mathematics, 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 such a way that the ring of Witt vectors over the finite field of order p is the …   Wikipedia

  • Witt — may refer to:People* Alex Witt, anchor for MSNBC * Alexander Witt, filmmaker * Alicia Witt, actress * Bobby Witt, former Major League Baseball pitcher * Brendan Witt, NHL player * Carl Gustav Witt, astronomer * Christian Friedrich Witt, baroque… …   Wikipedia

  • Witt group — In mathematics, a Witt group of a field, named after Ernst Witt, is an abelian group whose elements are represented by symmetric bilinear forms over the field.DefinitionFix a field k . All vector spaces will be assumed to be finite dimensional.… …   Wikipedia

  • Witt ring — In mathematics, a Witt ring may be *A ring of Witt vectors *A ring structure on the Witt group of symmetric bilinear forms.*See also Witt algebra, a Lie algebra …   Wikipedia

  • Witt's theorem — or the Witt theorem may also refer to the Bourbaki–Witt fixed point theorem of order theory. Witt s theorem, named after Ernst Witt, concerns symmetric bilinear forms on finite dimensional vector spaces. It tells us when we can extend an isometry …   Wikipedia

  • Witt algebra — 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 holomorphic except at two fixed points. It is also the complexification of the Lie algebra of …   Wikipedia

  • Ernst Witt — (June 26 1911 July 3 1991) was a German mathematician born on the island of Als, (German: Alsen ). Shortly after his birth, he and his parents moved to China, and he didn t return to Europe until he was nine.After his schooling, Witt went to the… …   Wikipedia

  • Poincaré–Birkhoff–Witt theorem — In the theory of Lie algebras, the Poincaré–Birkhoff–Witt theorem (Poincaré (1900), G. D. Birkhoff (1937), Witt (1937); frequently contracted to PBW theorem) is a result giving an explicit description of the universal enveloping algebra of a Lie… …   Wikipedia

  • Álgebra de Witt — En matemáticas el complejo llamado álgebra de Witt (en homenaje a quien la estudió: Ernst Witt) es un álgebra de Lie de campos vectoriales meromórficos definidos en la esfera de Riemann que es holomórfica excepto en dos puntos fijos. También la… …   Wikipedia Español

  • List of mathematics articles (W) — NOTOC Wad Wadge hierarchy Wagstaff prime Wald test Wald Wolfowitz runs test Wald s equation Waldhausen category Wall Sun Sun prime Wallenius noncentral hypergeometric distribution Wallis product Wallman compactification Wallpaper group Walrasian… …   Wikipedia

  • Jean-Pierre Serre — Pour les articles homonymes, voir Serre (homonymie). Jean Pierre Serre Jean Pierre Serre à Oberwolfach en 2009. Naissance …   Wikipédia en Français

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