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...

Lie algebras, the Poincaré–Birkhoff–Witt theorem (or PBW theorem) is a result giving an explicit description of the universal enveloping algebra of a...

Virasoro algebra (named after the physicist Miguel Ángel Virasoro) is a complex Lie algebra and the unique central extension of the Witt algebra. It is...

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...

(linguist and mathematician) Superspace Exterior algebra DeWitt 1984, Chapter 1, page 1. DeWitt 1984, pp. 1–2. DeWitt 1984, p. 2. Rogers 2007a, Chapter 1 (available...

universal enveloping algebra of a free Lie algebra on a set X is the free associative algebra generated by X. By the Poincaré–Birkhoff–Witt theorem it is the...

DeWitt Clinton High School is a public high school located since 1929 in The Bronx, New York. Opened in 1897 in Lower Manhattan as an all-boys school,...

algebra in two spacetime dimensions. The Virasoro algebra is the universal central extension of the Witt algebra. Central extensions are needed in physics, because...

X over a base field k. Its values Hn(X/W) are modules over the ring W of Witt vectors over k. It was introduced by Alexander Grothendieck (1966, 1968)...

Multivariate Statistics. Academic Press. pp. 455–464. ISBN 0-12-398750-4. DeWitt, Bryce (1984). "Chapter 1". Supermanifolds. Cambridge University Press....

algebra. For example, Witt's decomposition theorem says that a nondegenerate quadratic form over a field is determined up to isomorphism by its Witt index...

differential graded algebra is isomorphic to the derived de-Rham complex. The de Rham–Witt complex is, in very rough terms, an enhancement of the de Rham complex...

In mathematics, Witt vector cohomology was an early p-adic cohomology theory for algebraic varieties introduced by Serre (1958). Serre constructed it by...

x^{y}\right]=1.} Identity (5) is also known as the Hall–Witt identity, after Philip Hall and Ernst Witt. It is a group-theoretic analogue of the Jacobi identity...

a fixed field F is isomorphic to the set of ring homomorphisms from the Witt ring W(F) of quadratic forms over F, to Z. An Archimedean field is an ordered...

even-dimensional L-groups L 2 k ( R ) {\displaystyle L_{2k}(R)} are defined as the Witt groups of ε-quadratic forms over the ring R with ϵ = ( − 1 ) k {\displaystyle...

Schreier (1927) introduced Artin–Schreier theory for extensions of prime degree p, and Witt (1936) generalized it to extensions of prime power degree pn. If K is a field...

commutative ring A returns the ring Wn(A) of p-isotypic Witt vectors of length n over A. In algebraic topology, a ring spectrum is a spectrum X together with...

cotangent complex and deformations, crystalline cohomology and the De Rham–Witt complex, and logarithmic geometry. In 2012, he was awarded the Émile Picard...

1954–55 was one based on Witt vector coefficients. Around 1958 Serre suggested that isotrivial principal bundles on algebraic varieties – those that become...

1987 – "Witt rings as integral rings", Invent. Math. 90, no. 3, 631–633. 1985 – "Periodicity of Clifford algebras and exact octagons of Witt groups",...

(Boolean algebra) Shannon's source coding theorem (information theory) Shell theorem (physics) Shirshov–Cohn theorem (Jordan algebras) Shirshov–Witt theorem...

has a fixed point, and indeed a smallest fixed point. See also Bourbaki–Witt theorem. The theorem has applications in abstract interpretation, a form...

with coefficients in Witt vectors of k. F and V are the Frobenius and Verschiebung operators, and they may act nontrivially on the Witt vectors. Dieudonne...

the gauge group of the theory. Associated with any Lie group is the Lie algebra of group generators. For each group generator there necessarily arises...

Definition 2.1) (Kisilevsky, Neftin & Sonn 2010) (Kisilevsky & Sonn 2010) (De Witt 2014) (Thompson 1984) (Neftin 2009, Definition 1.1.) (Blum-Smith 2014)...

British Columbia in Vancouver, Canada. He completed his dissertation on Witt algebras in 1955. His thesis advisor was Stephen Arthur Jennings. Following the...

Éléments de mathématique (Elements of Mathematics), the group's central work. Topics treated in the series include set theory, abstract algebra, topology...

circle. Its Lie algebra is (more or less) the Witt algebra, whose central extension the Virasoro algebra (see Virasoro algebra from Witt algebra for a derivation...

(1910–1998) Shiing-Shen Chern (1911–2004) – differential geometry Ernst Witt (1911–1991) Rafael Artzy (1912–2006) Aleksandr Danilovich Aleksandrov (1912–1999)...