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...

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...

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

(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...

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

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...

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)...

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...

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...

identity homomorphism. For Witt vectors, the Verschiebung takes (a0, a1, a2, ...) to (0, a0, a1, ...). On the Hopf algebra of symmetric functions, the...

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

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

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

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

Van Schooten made of Descartes' La Géométrie, Hudde, together with Johan de Witt and Hendrik van Heuraet, published work of their own. Hudde's contribution...

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...

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...

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

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...

as the difference in the Witt ring of the ternary forms attached to the imaginary subspaces of A and B. The quaternion algebras are linked if and only if...

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

Poincaré–Birkhoff–Witt theorem (universal enveloping algebras) Shirshov–Cohn theorem (Jordan algebras) Shirshov–Witt theorem (Lie algebras) Beck's monadicity...

p-adic Theory in Noncommutative Algebras], Monatshefte für Mathematik (in German), 44 (1): 203–224, doi:10.1007/BF01699316 Witt, Ernst (1935), "Riemann-Rochscher...

provided that dim(X)<p and X admits a smooth proper lift over the ring of Witt vectors W2(k) of length two (for example, for k=Fp, this ring would be Z/p2)...

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...

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

in Hamburg, he received his doctoral degree (Dr. rer. nat.) under Ernst Witt with a thesis Über die Galoiskohomologie der Tori. Two years later, he completed...

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

under the supervision of Manuel Ojanguren, with a thesis entitled Groupes de Witt dérivés des Schémas (in French). His research centers around triangulated...