the Hasse invariant of an algebra is an invariant attached to a Brauer class of algebras over a field. The concept is named after Helmut Hasse. The invariant...

In mathematics, Hasse invariant may refer to: Hasse invariant of an algebra Hasse invariant of an elliptic curve Hasse invariant of a quadratic form This...

1923 Hasse diagram Hasse invariant of an algebra Hasse invariant of an elliptic curve Hasse invariant of a quadratic form Artin–Hasse exponential Hasse–Weil...

mathematics, the Hasse invariant (or Hasse–Witt invariant) of a quadratic form Q over a field K takes values in the Brauer group Br(K). The name "Hasse–Witt" comes...

identity Hasse–Witt matrix Hasse–Witt invariant Poincaré–Birkhoff–Witt theorem, usually known as the PBW theorem Shirshov–Witt theorem Witt algebra Witt decomposition...

In mathematics, the Hasse–Witt matrix H of a non-singular algebraic curve C over a finite field F is the matrix of the Frobenius mapping (p-th power mapping...

equivalence by their Hasse invariant. These invariants must satisfy some compatibility conditions: a parity relation (the sign of the discriminant must...

contributions to the theories of algebraic invariants and number fields. Her work on differential invariants in the calculus of variations, Noether's theorem...

algebra, an adelic algebraic group is a semitopological group defined by an algebraic group G over a number field K, and the adele ring A = A(K) of K...

In mathematics, F4 is a Lie group and also its Lie algebra f4. It is one of the five exceptional simple Lie groups. F4 has rank 4 and dimension 52. The...

cohomological invariant of an algebraic group G over a field is an invariant of forms of G taking values in a Galois cohomology group. Suppose that G is an algebraic...

injectivity of the left arrow is the content of the Albert–Brauer–Hasse–Noether theorem. The fact that the sum of all local invariants of a central simple...

division algebras over algebraic number fields in terms of their local invariants. It was proved independently by Richard Brauer, Helmut Hasse, and Emmy...

known for the Arf invariant of a quadratic form in characteristic 2 (applied in knot theory and surgery theory) in topology, the Hasse–Arf theorem in ramification...

(abstract algebra) Isomorphism theorem (abstract algebra) Lattice theorem (abstract algebra) 15 and 290 theorems (number theory) Albert–Brauer–Hasse–Noether...

mathematics, E7 is the name of several closely related Lie groups, linear algebraic groups or their Lie algebras e7, all of which have dimension 133; the...

In mathematics, E8 is any of several closely related exceptional simple Lie groups, linear algebraic groups or Lie algebras of dimension 248; the same notation...

In mathematics, the special linear Lie algebra of order n {\displaystyle n} over a field F {\displaystyle F} , denoted s l n F {\displaystyle {\mathfrak...

Albert–Brauer–Hasse–Noether theorem, saying that a central simple algebra over a number field is determined by its local invariants. Building on the Hasse principle...

An elliptic curve is supersingular if and only if its Hasse invariant is 0. An elliptic curve is supersingular if and only if the group scheme of points...

one of several generalizations. Formal groups are intermediate between Lie groups (or algebraic groups) and Lie algebras. They are used in algebraic number...

formula, an analogue in algebraic geometry of the Lefschetz fixed-point theorem in algebraic topology, used to express the Hasse–Weil zeta function. Gutzwiller...

fields of differential equations and algebraic logic, and is best known as the author of The Laws of Thought (1854), which contains Boolean algebra. Boolean...

quadratic form in characteristic 2 is of interest related to the Arf invariant – Irving Kaplansky (1974), Linear Algebra and Geometry, p. 27. The bilinear...

field is invariant under isomorphism and birational equivalence of varieties. It is therefore an important tool for the study of abstract algebraic varieties...

function. In an r-differential poset, the number of such paths is (2n − 1)!! r n. The number of paths of length 2n in the Hasse diagram of P beginning...

Weyl group Semisimple Lie algebra#Cartan subalgebras and root systems Maximal torus Root system of a semi-simple Lie algebra Hasse diagram Different conditions...

In mathematics, an algebraic number field (or simply number field) is an extension field K {\displaystyle K} of the field of rational numbers Q {\displaystyle...

November 1948) is an Indian mathematician known for her contributions to algebra. She is the Arts & Sciences Distinguished Professor of mathematics at Emory...

in particular in algebraic topology and differential geometry, the Stiefel–Whitney classes are a set of topological invariants of a real vector bundle...