Approximation in algebraic groups information

In algebraic group theory, approximation theorems are an extension of the Chinese remainder theorem to algebraic groups G over global fields k. Eichler...

Superstrong approximation is a generalisation of strong approximation in algebraic groups G, to provide spectral gap results. The spectrum in question is...

Algebraic topology is a branch of mathematics that uses tools from abstract algebra to study topological spaces. The basic goal is to find algebraic invariants...

number. In the 1840s, Joseph Liouville obtained the first lower bound for the approximation of algebraic numbers: If x is an irrational algebraic number...

Weak approximation may refer to: Weak approximation theorem, an extension of the Chinese remainder theorem to algebraic groups over global fields Weak...

In mathematics, the simplicial approximation theorem is a foundational result for algebraic topology, guaranteeing that continuous mappings can be (by...

is a list of algebraic topology topics. Simplex Simplicial complex Polytope Triangulation Barycentric subdivision Simplicial approximation theorem Abstract...

Hasse principle for algebraic groups was used in the proofs of the Weil conjecture for Tamagawa numbers and the strong approximation theorem. Local analysis...

Universal approximation theorem (artificial neural networks) Universal coefficient theorem (algebraic topology) Unmixedness theorem (algebraic geometry)...

In algebraic topology, the cellular approximation theorem states that a map between CW-complexes can always be taken to be of a specific type. Concretely...

In mathematics, approximation theory is concerned with how functions can best be approximated with simpler functions, and with quantitatively characterizing...

In the mathematical field of algebraic topology, the fundamental group of a topological space is the group of the equivalence classes under homotopy of...

mod 8. This is an algebraic form of Bott periodicity. The class of Lipschitz groups (a.k.a. Clifford groups or Clifford–Lipschitz groups) was discovered...

generalizations. Number-theoretic questions are expressed in terms of properties of algebraic objects such as algebraic number fields and their rings of integers, finite...

In mathematics, superstrong may refer to: Superstrong cardinal in set theory Superstrong approximation in algebraic group theory This disambiguation page...

His main publications were on quadratic forms and algebraic groups. Approximation in algebraic groups Betke–Kneser theorem Kneser–Tits conjecture Kneser's...

Poisson algebras appear naturally in Hamiltonian mechanics, and are also central in the study of quantum groups. Manifolds with a Poisson algebra structure...

difference between a number stored in the computer and the true number that it is an approximation of. Numerical linear algebra uses properties of vectors and...

or unital associative algebra, or in some subjects such as algebraic geometry, unital associative commutative algebra. Replacing the field of scalars by...

Archimedean property. Alajbegovic, J.; Mockor, J. (1992), Approximation Theorems in Commutative Algebra: Classical and Categorical Methods, NATO ASI Series...

of these approximation methods can be expressed in purely linear algebraic or functional analytic terms as matrix or function approximations. Others are...

approximation, p-adic analysis and function fields. Algebraic structures occur as both discrete examples and continuous examples. Discrete algebras include:...

aided them in solving their rhetorical algebraic equations. The Babylonians were not interested in exact solutions, but rather approximations, and so they...

their algebraic tensor product. One can define a tensor product of von Neumann algebras (a completion of the algebraic tensor product of the algebras considered...

which uses geometry for the study of algebraic numbers. Typically, a ring of algebraic integers is viewed as a lattice in R n , {\displaystyle \mathbb {R}...

permutation group, a result known today as Cayley's theorem. In succeeding years, Cayley systematically investigated infinite groups and the algebraic properties...