Abstract
Introduction
Let A # fa 1 #a 2 #####a k gbe a set with k elements, and QhAi the associative (non-commutative) algebra
on A. Defining a Lie bracket (#x# y##xy # yx)onthisQ-module turns it into a Lie algebra, and we will
denote by L#A# its Lie subalgebra generated by A (i.e. L#A# is the free Lie algebra on A and QhAi its
enveloping algebra). A will now be called an alphabet, whose elements are the letters,andA
#
is the free
monoid (the set of all words) over A.
We know that<F9.1
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