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Bases de Lyndon des algèbres de Lie libres partiellement commutatives

Pierre Lalonde
<span title="">1993</span> <i title="Elsevier BV"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/elaf5sq7lfdxfdejhkqbtz6qoq" style="color: black;">Theoretical Computer Science</a> </i> &nbsp;
Nous rappellerons done, sans dtmonstrations, celles qui sont necessaires a la comprehension du risultat principal: la construction de la base de Lyndon de l'algebre de Lie libre partiellement commutative  ...  On consider-e Y&(P) la sous-algebre de Lie de /[Z(P)] (equip&e du crochet de Lie) engendrte par P. Ainsi, /[Y(P)] est l'algebre enveloppante de B',(P) (voir [l, 5, 123).  ... 
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<a target="_blank" rel="noopener" href="https://web.archive.org/web/20190322053224/https://core.ac.uk/download/pdf/82656135.pdf" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/69/54/6954d7d416b6efbd8054adc8c6306e80c7b619e2.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1016/0304-3975(93)90315-k"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="external alternate icon"></i> elsevier.com </button> </a>

Page 106 of Mathematical Reviews Vol. , Issue 95a [page]

<span title="">1995</span> <i title="American Mathematical Society"> <a target="_blank" rel="noopener" href="https://archive.org/details/pub_mathematical-reviews" style="color: black;">Mathematical Reviews </a> </i> &nbsp;
Ernest Stitzinger (1-NCS; Raleigh, NC) See also 19004, 46078, 58060, 81083. 17B Lie algebras 95a:17008 17B01 17B60 Lalonde, Pierre (3-PQ-MI; Montreal, PQ) Bases de Lyndon des algebres de Lie libres partiellement  ...  (French summary) [Lyndon bases of partially commutative free Lie algebras] Conference on Formal Power Series and Algebraic Combinatorics (Bordeaux, 1991). Theoret. Comput.  ... 
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Page 1189 of Mathematical Reviews Vol. , Issue 94c [page]

<span title="">1994</span> <i title="American Mathematical Society"> <a target="_blank" rel="noopener" href="https://archive.org/details/pub_mathematical-reviews" style="color: black;">Mathematical Reviews </a> </i> &nbsp;
Lalanne, Sur une in- volution sur les chemins de Dyck [On an involution of Dyck paths] (203-215); Pierre Lalonde, Bases de Lyndon des algébres de Lie libres partiellement commutatives [Lyndon bases of  ...  par- tially commutative free Lie algebras] (217-226); S.  ... 
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Algèbre combinatoire et effective: des graphes aux algèbres de Kac, via l'exploration informatique [article]

Nicolas M. Thiéry
<span title="2009-12-14">2009</span> <i > arXiv </i> &nbsp; <span class="release-stage" >pre-print</span>
In part one, building on my thesis work, I use tools from commutative algebra, and in particular from invariant theory, to study isomorphism problems in combinatorics.  ...  D'abord ceux de la combinatoire algébrique phalanstérienne : représentations du groupe symétrique et des algèbres de Lie, déformations non commutatives et interpolations entre algèbres de Hopf (groupes  ...  par des algèbres commutatives graduées.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener" href="https://arxiv.org/abs/0912.2619v1">arXiv:0912.2619v1</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/awwytnb34vfidizdbs3aor7u3y">fatcat:awwytnb34vfidizdbs3aor7u3y</a> </span>
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Lois de groupes et analyseurs

Michel Lazard
<span title="">1955</span> <i title="Societe Mathematique de France"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/ca7ifai33je6xc4hduaf346wpe" style="color: black;">Annales Scientifiques de l&#39;Ecole Normale Supérieure</a> </i> &nbsp;
Les exemples b à e répondent respectivevent aux espèces suivantes de iî-algèbres : algébres associatives, associatives et commutatives, de Lie, associatives et commutatives à dérivation.  ...  D'autre part, le théorème de Poincaré-Witt valable notamment pour les algébres de Lie libres, permet d'identifier l'analyseur de Lie à un sous-analyseur de l'analyseur annulaire, en posant II existe des  ...  Les groupes H^(5L) ne s'explicitent pas d/une manière simple à partir de n et de r : ils dépendent, en effet, des décompositions de l'entier r comme somme de puissances (Tun même nombre premier.  ... 
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Page 331 of Mathematical Reviews Vol. 27, Issue Index [page]

<i title="American Mathematical Society"> <a target="_blank" rel="noopener" href="https://archive.org/details/pub_mathematical-reviews" style="color: black;">Mathematical Reviews </a> </i> &nbsp;
Free ideals of one-relator graded Lie algebras. (English summary) 95c:17009 Lalonde, Pierre Bases de Lyndon des algébres de Lie libres partiellement commutatives.  ...  remarques sur les super-algébres de Lie libres.  ... 
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Recherches autour de la theorie de Markoff [article]

Serge Perrine
<span title="2003-07-16">2003</span> <i > arXiv </i> &nbsp; <span class="release-stage" >pre-print</span>
Lyndon et J.L. Ullman [496] (p. 164) qui permettrait dans ce cas de conclure que le groupe gp(ψ(A), ψ(B)) est libre.  ...  enveloppante universelle d'une algèbre de Lie possède une structure naturelle d'algèbre de Hopf.  ... 
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Reference list of indexed articles

<span title="">1999</span> <i title="Elsevier BV"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/elaf5sq7lfdxfdejhkqbtz6qoq" style="color: black;">Theoretical Computer Science</a> </i> &nbsp;
-P Duval, Generation d'une section des classes de conjugaison et arbre des mots de Lyndon de longueur bomee 60 (3) (1988) 255-283 1141. A.  ...  Thibon, Theoremes de transfert pour les polynomes partiellement commutatif\ 57 (2-3) (1988) 239-249 J.-J.C. Meyer and E.P.  ... 
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Cumulative index volumes 1–100

<span title="">1992</span> <i title="Elsevier BV"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/elaf5sq7lfdxfdejhkqbtz6qoq" style="color: black;">Theoretical Computer Science</a> </i> &nbsp;
-Y., Integrite des algebres de series formelles sur an alphabet partiellement commutatif (Note) 41 (1) (1985) 109-112 Thibon, J.Y., seeG. Duchamp 57 (2-3) (1988) 239-249 Thierrin, G., seeT.  ...  -P., Periodes et repetitions des mots du monoide libre 9 ( 1 ) (1979) 17-26 Duval. J.  ... 
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