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...

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...

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

In mathematics, the Virasoro algebra is a complex Lie algebra and the unique central extension of the Witt algebra. It is widely used in two-dimensional...

(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...

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

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,...

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...

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...

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)...

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...

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...

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

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...

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...

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...

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...

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...

satisfying 1. and 2. Hence the Lie algebra of infinitesimal symmetries of the conformal structure, the Witt algebra, is infinite-dimensional. The conformal...

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

"Sur le théorème de Zorn", Archiv der Mathematik, 2 (6): 434–437 (1951), doi:10.1007/bf02036949, MR 0047739, S2CID 117826806. Witt, Ernst (1951), "Beweisstudien...

the non-commutative Dieudonné ring, which is generated over the ring of Witt vectors by two special endomorphisms F {\displaystyle F} and V {\displaystyle...

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

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

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

Joachim; Deninger, Christopher (2015), "Witt vector rings and the relative de Rham Witt complex", Journal of Algebra, 440: 545–593, arXiv:1410.5249, doi:10...

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

for schemes over a base field, whose values are modules over the ring of Witt vectors over the base field, that replaces Zariski open sets by infinitesimal...

S2CID 119143902. Bhatt, Bhargav; Scholze, Peter (2017). "Projectivity of the Witt vector affine Grassmannian". Inventiones Mathematicae. 209 (2): 329–423....