In the mathematical theory of Lie groups, the Chevalley restriction theorem describes functions on a Lie algebra which are invariant under the action...

finite groups. Chevalley–Warning theorem concerning solvability of polynomial equations over finite fields. Chevalley restriction theorem identifying the...

{\displaystyle \Omega ^{\bullet }(G,M)^{G}} . The Chevalley–Eilenberg differential may then be thought of as a restriction of the covariant derivative on the trivial...

the restrictions on the dimension have been given by Eckmann (1943) using the representation theory of finite groups and by Lee (1948) and Chevalley (1954)...

Castelnuovo theorem (algebraic geometry) Cayley–Salmon theorem (algebraic surfaces) Chasles' theorem (algebraic geometry) Chevalley's structure theorem (algebraic...

In algebra, Weyl's theorem on complete reducibility is a fundamental result in the theory of Lie algebra representations (specifically in the representation...

of 20th century. In the 1950s Claude Chevalley realized that after an appropriate reformulation, many theorems about semisimple Lie groups admit analogues...

infinitesimal character. Chevalley 1.  Chevalley 2.  Chevalley generators 3.  Chevalley group. 4.  Chevalley's restriction theorem. class function A class...

groups, the complexification, sometimes called the Chevalley complexification after Claude Chevalley, can be defined as the group of complex characters...

leading to the Hecke algebra of a finite Weyl group is when G is the finite Chevalley group over a finite field with pk elements, and B is its Borel subgroup...

53. Borel (1991), Proposition 21.12. Chevalley (2005); Springer (1998), 9.6.2 and 10.1.1. Milne (2017), Theorems 23.25 and 23.55. Milne (2017), Corollary...

preserve arbitrary coequalizers, showing that some restriction on the coequalizers in Beck's theorem is necessary if one wants to have conditions that...

In mathematics, the closed-subgroup theorem (sometimes referred to as Cartan's theorem) is a theorem in the theory of Lie groups. It states that if H is...

Langlands (1966) introduced harmonic analysis methods to show it for Chevalley groups. K. F. Lai (1980) extended the class of known cases to quasisplit...

diffeomorphic to R 8 {\displaystyle \mathbb {R} ^{8}} ). Hence, the restriction of φ to the 3-sphere (since modulus is 1), denoted S3, is an embedding...

3l} elements e i , f i , h i {\displaystyle e_{i},f_{i},h_{i}} (called Chevalley generators) generate g {\displaystyle {\mathfrak {g}}} as a Lie algebra...

subspace and dividing into the formula just given, by the orbit-stabilizer theorem. These formulas are connected to the Schubert decomposition of the Grassmannian...

analog of Schur's lemma Hall 2015 Theorem 5.6 Hall 2013 Section 17.3 Hall 2015 Theorem 4.29 Dixmier 1977, Theorem 1.6.3 Hall 2015 Section 4.3 Hall 2015...

a polynomial algebra in r {\displaystyle r} variables (see Chevalley–Shephard–Todd theorem for a more general statement). Therefore, the center of the...

over fields of characteristic zero) include finite groups (see Maschke's theorem), compact groups, and semisimple Lie algebras. In cases where complete...

Lie algebra of A, which itself is a polynomial ring by the Chevalley–Shephard–Todd theorem on polynomial invariants of finite reflection groups. The simplest...

There is a very intuitive criterion for properness which goes back to Chevalley. It is commonly called the valuative criterion of properness. Let f: X...

K is a 2n × 2n real, symmetric matrix. This turns out to be a useful restriction and allows us to rewrite the Heisenberg equation as d z ^ d t = Ω K z...

in the late 1930s, following Claude Chevalley's lead with the ideles, and gave a proof of the Riemann–Roch theorem with them (a version appeared in his...

algebra cohomology, was first developed in the late 1940s, by Claude Chevalley and Eilenberg, and Jean-Louis Koszul (Weibel 1999, p. 810). It is formally...

the French "idèle" and was coined by the French mathematician Claude Chevalley. The word stands for 'ideal element' (abbreviated: id.el.). Adele (French:...

Claude Chevalley coined the term Noetherian ring to describe this property. A major result in Noether's 1921 paper is the Lasker–Noether theorem, which...

one, which is (more or less) the multiplicative version of the Jordan–Chevalley decomposition. There is also a version of the Jordan decomposition for...

norms. So 1/|H0(E/F)| ≥ 1/|E/F| which is the second inequality. In 1940 Chevalley found a purely algebraic proof of the second inequality, but it is longer...

definition of K2. Steinberg studied the universal central extensions of a Chevalley group over a field and gave an explicit presentation of this group in...