EuDML | Browse

Page 1

Displaying 1 – 7 of 7

On invariants of the action of a finite group on a free Lie algebra.

Petrogradskij, V.M. (2000)

Siberian Mathematical Journal

On Lie powers of regular modules in characteristic 2

L. G. Kovács, Ralph Stöhr (2004)

Rendiconti del Seminario Matematico della Università di Padova

On the combinatorial Kashiwara-Vergne conjecture. (Sur la conjecture combinatoire de Kashiwara-Vergne.)

Torossian, Charles (2002)

Journal of Lie Theory

On the homology of free Lie algebras

Calin Popescu (1998)

Commentationes Mathematicae Universitatis Carolinae

Given a principal ideal domain $R$ of characteristic zero, containing $1 / 2$ , and a connected differential non-negatively graded free finite type $R$ -module $V$ , we prove that the natural arrow $𝕃 F H (V) \to F H 𝕃 (V)$ is an isomorphism of graded Lie algebras over $R$ , and deduce thereby that the natural arrow $U F H 𝕃 (V) \to F H U 𝕃 (V)$ is an isomorphism of graded cocommutative Hopf algebras over $R$ ; as usual, $F$ stands for free part, $H$ for homology, $𝕃$ for free Lie algebra, and $U$ for universal enveloping algebra. Related facts and examples are also considered....

On the homology of free nilpotent Lie algebras.

Tirao, Paulo (2002)

Journal of Lie Theory

On the variety of 3-dimensional Lie algebras.

Agaoka, Y. (1999)

Lobachevskii Journal of Mathematics

Outer endomorphisms of free metabelian Lie algebras

Findik, Sehmus (2011)

Serdica Mathematical Journal

2000 Mathematics Subject Classification: 17B01, 17B30, 17B40.Let Fm be the free metabelian Lie algebra of rank m over a field K of characteristic 0. We consider the semigroup IE(Fm) of the endomorphisms of Fm which are identical modulo the commutator ideal of Fm. We describe the factor semigroup of IE(Fm) modulo the congruence induced by the group of inner automorphisms.