Voir la notice de l'article provenant de la source Math-Net.Ru
@article{SJIM_2006_9_4_a7, author = {A. N. Koryukin and K.-P. Shum}, title = {Reduced bases of the {Lie~algebra~}$D_n^+$}, journal = {Sibirskij \v{z}urnal industrialʹnoj matematiki}, pages = {90--104}, publisher = {mathdoc}, volume = {9}, number = {4}, year = {2006}, language = {ru}, url = {http://geodesic.mathdoc.fr/item/SJIM_2006_9_4_a7/} }
A. N. Koryukin; K.-P. Shum. Reduced bases of the Lie~algebra~$D_n^+$. Sibirskij žurnal industrialʹnoj matematiki, Tome 9 (2006) no. 4, pp. 90-104. http://geodesic.mathdoc.fr/item/SJIM_2006_9_4_a7/
[1] Koryukin A. N., “Bazisy Grëbnera–Shirshova algebry Li $A_n$”, Algebra i logika, 44:2 (2005), 131–147 | MR | Zbl
[2] Shirshov A. I., “O svobodnykh koltsakh Li”, Mat. sb., 45(87):2 (1958), 113–122 | MR | Zbl
[3] Chen K. T., Fox R. H., Lyndon R. C., “Free differential calculus IV. The quotient groups of the lower central series”, Ann. Math., 68 (1958), 81–95 | DOI | MR
[4] Bokut L. A., Klein A. A., “Serre relations and Gröbner–Shirshov bases for simple Lie algebras, I”, Internat. J. Algebra Comput., 6:4 (1996), 389–400 | DOI | MR | Zbl
[5] Humphreys J. E., Introduction to Lie Algebras and Representation Theory, Springer-Verl., New York, Heidelberg, Berlin, 1972 | MR | Zbl
[6] Burbaki N., Gruppy i algebry Li, Mir, M., 1972 | MR | Zbl
[7] Kats V., Beskonechnomernye algebry Li, Mir, M., 1993 | MR | Zbl
[8] Bokut L. A., Klein A. A., “Serre relations and Gröbner–Shirshov bases for simple Lie algebras, II”, Internat. J. Algebra Comput., 6:4 (1996), 40–412 | MR
[9] Lalonde P., Ram A., “Standard Lyndon bases of Lie algebras and enveloping algebras”, Trans. Amer. Math. Soc., 347:5 (1995), 1821–1830 | DOI | MR | Zbl