In mathematics, a Carnot group is a simply connected nilpotent Lie group, together with a derivation of its Lie algebra such that the subspace with eigenvalue...

\partial } of a commutative ring A {\displaystyle A} is called a locally nilpotent derivation (LND) if every element of A {\displaystyle A} is annihilated...

spaces, they are also called holomorphic maps. A structure sheaf may have nilpotent element, and also, when the complex analytic space whose structure sheaf...

with Évariste Galois in the 1830s, who introduced the term group (French: groupe) for the symmetry group of the roots of an equation, now called a Galois...

Noetherian local ring, I its maximal ideal and M finitely generated), or I is nilpotent. Then the following are equivalent: M is a flat module. M / I {\displaystyle...

axiomatized, including fusion systems, Luis Puig's theory of pairs and nilpotent blocks. The theory of finite soluble groups was likewise transformed by...

domains) Alain Guichardet, Représentations des groupes de Lie nilpotents, d'après Kirillov (nilpotent Lie groups and representation theory, Kirillov orbit method)...

1112/jlms/s2-47.2.294, ISSN 0024-6107 Chevalley, Claude (1995) [1967], "Le groupe de Janko", Séminaire Bourbaki, Vol. 10, Paris: Société Mathématique de France...

S({\mathfrak {g}})^{\mathfrak {g}}\to S({\mathfrak {g}})^{\mathfrak {g}}.} For a nilpotent Lie algebra the Duflo isomorphism coincides with the symmetrization map...

JFM 05.0088.01 Mazet, Pierre (1979), "Sur le multiplicateur de Schur du groupe de Mathieu M₂₂", Comptes Rendus de l'Académie des Sciences, Série A et B...