conjecture. Dixmier, Jacques (1968), "Sur les algèbres de Weyl", Bulletin de la Société Mathématique de France, 96: 209–242, doi:10.24033/bsmf.1667, MR 0242897...

corresponding Weyl group is called the Weyl group of G (it depends up to isomorphism on the choice of T). The first two major results about the Weyl group are...

finite fields, called Chevalley groups. The Chevalley basis is the Cartan-Weyl basis, but with a different normalization. The generators of a Lie group...

(1997), "Polynomial automorphisms and the Jacobian conjecture" (PDF), Algèbre non commutative, groupes quantiques et invariants (Reims, 1995), Sémin...

Bourbaki, Nicolas (1989) [1970]. Algebra I Chapters 1-3 [Algèbre: Chapitres 1 à 3] (PDF). Éléments de mathématique. Berlin New York: Springer Science & Business...

Lie algebras over algebraically closed fields, in the classification of Weyl groups and other finite reflection groups, and in other contexts. Various...

f]=-2f} , and [ h , e ] = 2 e {\displaystyle [h,e]=2e} . This is a Cartan-Weyl basis for s l 2 C {\displaystyle {\mathfrak {sl}}_{2}\mathbb {C} } . It has...

doi:10.1007/978-3-642-59141-9. ISBN 978-3-540-42192-4. Algèbre Locale, Multiplicités (1965) Collège de France course 1957–58, as Local Algebra. Springer Monographs...

from other ideas of groups over F1, in that the F1‑scheme is not itself the Weyl group of its base extension to normal schemes. Lorscheid first defines the...

other authors, Nouazé and Revoy, had appeared three years before in which Weyl algebras were treated from a Cliffordian point of view. Crumeyrolle however...

representation space. (This is proved as a consequence of Weyl's complete reducibility theorem; see Weyl's theorem on complete reducibility#Application: preservation...

(without their multiplicities): they are precisely the saturation under the Weyl group of the dominant weights obtained by subtracting off a sum of simple...

to 1955, reprinted by CNRS 1984: Part 1: Groupes de Lie (in 2 vols.), 1952 Part 2, Vol. 1: Algèbre, formes différentielles, systèmes différentiels, 1953...

de décomposition en arithmétique des lois de probabilité, in: L'ennuple projectif et l'unification de théories de l'électromagnétisme de Weyl et de Veblen-Hoffmann...

corresponds to the Weyl group of a compact semisimple group K with maximal torus T, then the Kostant polynomials describe the structure of the de Rham cohomology...

Alain Guichardet, Représentations des algèbres involutives (star-algebras) Michel A. Kervaire, Le problème de Poincaré en dimensions élevées, d'après...

Groupes et Algèbres de Lie (Chapitre 3), Éléments de Mathématique, Hermann, ISBN 978-3540339403 Bourbaki, N. (1981a), Groupes et Algèbres de Lie (Chapitres...

de calcul tensoriel, Armand Colin 1946, Éditions Jacques Gabay, 1987. Algèbre et analyse linéaires, Paris, Masson, 1947. Les Théories relativistes de...

included a chapter on multilinear algebra titled "Algèbre Multilinéaire" in his series Éléments de mathématique, specifically within the algebra book...

There are infinitely many of rank 2, and 238 of ranks between 3 and 10. Weyl–Kac character formula Generalized Kac–Moody algebra Integrable module Monstrous...

3423. doi:10.1016/j.aim.2012.11.007. V. Guillemin (1985). "A new proof of Weyl's formula on the asymptotic distribution of eigenvalues". Advances in Mathematics...

results about the cohomology of Lie algebras include Whitehead's lemmas, Weyl's theorem, and the Levi decomposition theorem. Let g {\displaystyle {\mathfrak...

subalgebra Unitarian trick Verma module Weyl 1.  Hermann Weyl (1885 – 1955), a German mathematician 2.  A Weyl chamber is one of the connected components...

soon noted by other mathematicians, prominent among these being Hermann Weyl, Jan Arnoldus Schouten, and Élie Cartan, that a covariant derivative could...

Boston·Basel·Berlin: Birkhäuser. ISBN 0-8176-4259-5. Serre, Jean-Pierre (2000), Algèbres de Lie semi-simples complexes [Complex Semisimple Lie Algebras], translated...

ISBN 978-0-521-36764-6. Serre, Jean-Pierre (1975), Algèbre locale. Multiplicités, Cours au Collège de France, 1957–1958, rédigé par Pierre Gabriel. Troisième...

Introduction to commutative algebra. Addison–Wesley. Bourbaki, N. (1964). Algèbre commutative. Hermann. Bourbaki, N. (1989). Algebra I, Chapters 1–3. Springer...

complexification of K, and the formulas are related to analytic continuations of the Weyl character formula on K. The abstract functional analytic theory of zonal...

constructed on the basis of the notion of envelope of topological algebra. Peter–Weyl theorem Cartier duality Stereotype space Joint continuousness means here...

ISBN 978-0-7167-0344-0 Bourbaki, Nicolas (1980), "Ch. 9 "Algèbres de Clifford"", Eléments de Mathématique. Algèbre, Hermann, ISBN 9782225655166 Hestenes, David;...