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...

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...

(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, 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...

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...

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

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

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

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...

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,...

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...

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...

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...

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...

research on Sklyanin algebras in Poisson geometry, on the actions of Hopf algebras, and on the universal enveloping algebra of the Witt algebra. She was elected...

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

crystals "up to isogeny". Suppose that k is a perfect field, with ring of Witt vectors W and let K be the quotient field of W, with Frobenius automorphism σ...

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...

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

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...

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

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...

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

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)...

field Group scheme of roots of unity Dirichlet character Ramanujan's sum Witt vector Teichmüller character Hadlock, Charles R. (2000). Field Theory and...

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

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