An algebraic treatment of Mal'cev's theorems concerning nilpotent Lie groups and their Lie algebras

Then the notion of systolic growth can be made meaningful in a real finite- dimensional nilpotent Lie algebra: it maps r to the smallest covolume of a discrete cocompact subring

The aim of our work is a parallel study of the two natural graded Lie algebra objects associated to topological spaces S in traditional homotopy theory : gr*7Ti6' (the graded

The first main result, Theorem 1, Section 2, is based on the fact t h a t a left invariant locally solvable differential operator on a Lie group must possess a

We close this section by making some remarks on the relation between the cohomology of M.(n} and the cohomology of maximal nilpotent subalgebras of semisimple Lie algebras. Hence

of differential operators that contained dim j algebraically independent operators, corresponding to the generators of the ring of W-invariant polynomials, but was

In this paragraph we shall relate the local moduli of isolated hypersurface singularities to the local moduli of Lie algebras.. Consider an isolated

In this paper we shall generalize Gerstenhaber’s result to reductive Lie algebras and simply connected semisimple algebraic groups, both over algebraically closed

STEWART: An algebraic treatment of Mal’cev’s theorems concerning nil- potent Lie groups and their Lie algebras. STEWART: Infinite-dimensional Lie algebras in the spirit