Lie algebras given by generators and relations occur in my contexts. Some examples are Kao-Moody algebras, Engel and sandwich algebras and Serres presentation of the simple Lie algebras. In this abstract we sketch methods for rewriting elements in a Lie algebra given by generators and relations. Such an algebra is a quotient of a free algebra A by an ideal I generated by the relations. One of the main problems is computing te product of two elements in the factor A/I. This problem is solved once we have a method for rewriting elements in A modulo I
AbstractIn the first part of this paper, we introducenormalized rewriting, a new rewrite relation. I...
AbstractLetVbe a representation of a finite groupG. By using the trace formula for the free Lie alge...
A palindrome, in general, is a word in a fixed alphabet which is preserved when taken in reverse ord...
We derive a sufficient condition for a generating set of an ideal in the free (non-associative, non-...
We use the technique known as elimination to devise some new bases of the free Lie algebra which (li...
AbstractWe use the technique known as elimination to devise some new bases of the free Lie algebra w...
We use Lazard Elimination to devise some new bases of the free Lie algebra which (like classical Ha...
. We study the subgroup generated by the exponentials of formal Lie series. We show three different ...
The free Lie algebra on a generating set X is contained in the free associative algebra over X in a ...
AbstractWe study the subgroup generated by the exponentials of formal Lie series. We show three diff...
During the past decade numerous fruitful contributions to the theory of the free Lie algebra have be...
AbstractIn this paper, we study algebraic structures defined by a presentation of the form 〈 A; ab =...
AbstractIn this article we construct a basis of a free Lie algebra that consists of right normed wor...
In this paper we propose a 1-to-1 correspondence between graded two-sided ideals of the free associa...
International audienceIn this paper, we construct a pre-Lie structure on the free Lie algebra L(E) g...
AbstractIn the first part of this paper, we introducenormalized rewriting, a new rewrite relation. I...
AbstractLetVbe a representation of a finite groupG. By using the trace formula for the free Lie alge...
A palindrome, in general, is a word in a fixed alphabet which is preserved when taken in reverse ord...
We derive a sufficient condition for a generating set of an ideal in the free (non-associative, non-...
We use the technique known as elimination to devise some new bases of the free Lie algebra which (li...
AbstractWe use the technique known as elimination to devise some new bases of the free Lie algebra w...
We use Lazard Elimination to devise some new bases of the free Lie algebra which (like classical Ha...
. We study the subgroup generated by the exponentials of formal Lie series. We show three different ...
The free Lie algebra on a generating set X is contained in the free associative algebra over X in a ...
AbstractWe study the subgroup generated by the exponentials of formal Lie series. We show three diff...
During the past decade numerous fruitful contributions to the theory of the free Lie algebra have be...
AbstractIn this paper, we study algebraic structures defined by a presentation of the form 〈 A; ab =...
AbstractIn this article we construct a basis of a free Lie algebra that consists of right normed wor...
In this paper we propose a 1-to-1 correspondence between graded two-sided ideals of the free associa...
International audienceIn this paper, we construct a pre-Lie structure on the free Lie algebra L(E) g...
AbstractIn the first part of this paper, we introducenormalized rewriting, a new rewrite relation. I...
AbstractLetVbe a representation of a finite groupG. By using the trace formula for the free Lie alge...
A palindrome, in general, is a word in a fixed alphabet which is preserved when taken in reverse ord...
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