Voir la notice de l'article provenant de la source Math-Net.Ru
@article{AL_2012_51_4_a5, author = {E. N. Poroshenko}, title = {Centralizers in partially commutative {Lie} algebras}, journal = {Algebra i logika}, pages = {524--554}, publisher = {mathdoc}, volume = {51}, number = {4}, year = {2012}, language = {ru}, url = {http://geodesic.mathdoc.fr/item/AL_2012_51_4_a5/} }
E. N. Poroshenko. Centralizers in partially commutative Lie algebras. Algebra i logika, Tome 51 (2012) no. 4, pp. 524-554. http://geodesic.mathdoc.fr/item/AL_2012_51_4_a5/
[1] G. Duchamp, D. Krob, “Free partially commutative structures”, J. Algebra, 156:2 (1993), 318–361 | DOI | MR | Zbl
[2] H. Servatius, “Automorphisms of graph groups”, J. Algebra, 126:1 (1989), 34–60 | DOI | MR | Zbl
[3] S. L. Shestakov, “Uravnenie $[x,y]=g$ v chastichno kommutativnykh gruppakh”, Sib. matem. zh., 46:2 (2005), 466–477 | MR | Zbl
[4] S. L. Shestakov, “Uravnenie $x^2y^2=g$ v chastichno kommutativnykh gruppakh”, Sib. matem. zh., 47:2 (2006), 463–472 | MR | Zbl
[5] A. J. Duncan, I. V. Kazachkov, V. N. Remeslennikov, “Parabolic and quasiparabolic subgroups of free partially commutative groups”, J. Algebra, 318:2 (2007), 918–932 | DOI | MR | Zbl
[6] Ch. K. Gupta, E. I. Timoshenko, “Chastichno kommutativnye metabelevy gruppy: tsentralizatory i elementarnaya ekvivalentnost”, Algebra i logika, 48:3 (2009), 309–341 | MR | Zbl
[7] E. I. Timoshenko, “Universalnaya ekvivalentnost chastichno kommutativnykh metabelevykh grupp”, Algebra i logika, 49:2 (2010), 263–290 | MR | Zbl
[8] E. I. Timoshenko, “Maltsevskaya baza chastichno kommutativnoi nilpotentnoi, metabelevoi gruppy”, Algebra i logika, 50:5 (2011), 647–658 | MR | Zbl
[9] K. Hang Kim, L. Makar-Limanov, J. Neggers, F. W. Roush, “Graph algebras”, J. Algebra, 64 (1980), 46–51 | DOI | MR | Zbl
[10] G. Duchamp, D. Krob, “The lower central series of the free partially commutative group”, Semigroup Forum, 45:3 (1992), 385–394 | DOI | MR | Zbl
[11] E. N. Poroshenko, “O bazisakh chastichno kommutativnykh algebr Li”, Algebra i logika, 50:5 (2011), 595–614 | MR | Zbl
[12] G. Bergman, “Centralizers in free associative algebras”, Trans. Am. Math. Soc., 137 (1969), 327–344 | DOI | MR | Zbl
[13] L. Makar-Limanov, U. Umirbaev, “Centralizers in free Poisson algebras”, Proc. Am. Math. Soc., 135:7 (2007), 1969–1975 | DOI | MR | Zbl
[14] A. I. Shirshov, “O svobodnykh koltsakh Li”, Matem. sb., 45(87):2 (1958), 113–122 | MR | Zbl
[15] K. T. Chen, R. H. Fox, R. C. Lyndon, “Free differential calculus. IV: The quotient groups of the lower central series”, Ann. Math. (2), 68 (1958), 81–95 | DOI | MR | Zbl
[16] A. I. Shirshov, “Nekotorye voprosy teorii kolets, blizkikh k assotsiativnym”, Uspekhi matem. n., 13:6(84) (1958), 3–20 | MR | Zbl
[17] L. A. Bokut, Yuqun Chen, “Gröbner–Shirshov bases for Lie algebras: after A. I. Shirshov”, Southeast Asian Bull. Math., 31:6 (2007), 1057–1076 | MR | Zbl