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
%0 Generic
%1 citeulike:71449
%A Andary, P.
%D 1997
%K algebra free homogeneous lie
%T Finely homogeneous computations in free Lie algebras
%U http://citeseer.ist.psu.edu/andary97finely.html
%X 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
@misc{citeulike:71449,
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},
added-at = {2007-08-18T13:22:24.000+0200},
author = {Andary, P.},
biburl = {https://www.bibsonomy.org/bibtex/2c93c11a8ef29e26fb473742814d5d07d/a_olympia},
citeulike-article-id = {71449},
description = {citeulike},
interhash = {c600e0a6c3e8c00d3d7dee745f0e589c},
intrahash = {c93c11a8ef29e26fb473742814d5d07d},
keywords = {algebra free homogeneous lie},
timestamp = {2007-08-18T13:22:57.000+0200},
title = {Finely homogeneous computations in free Lie algebras},
url = {http://citeseer.ist.psu.edu/andary97finely.html},
year = 1997
}