In un'algebra di Lie graduata thin, la classe in cui compare il secondo diamante e la caratteristica del campo soggiacente determinano se l'algebra stessa abbia o meno dimensione finita ed in tal caso forniscono anche un limite superiore a tale dimensione.
@article{BUMI_2001_8_4B_3_597_0, author = {M. Avitabile and G. Jurman}, title = {Diamonds in thin Lie algebras}, journal = {Bollettino dell'Unione Matematica Italiana}, volume = {4-A}, year = {2001}, pages = {597-608}, zbl = {1139.17306}, mrnumber = {1859998}, language = {en}, url = {http://dml.mathdoc.fr/item/BUMI_2001_8_4B_3_597_0} }
Avitabile, M.; Jurman, G. Diamonds in thin Lie algebras. Bollettino dell'Unione Matematica Italiana, Tome 4-A (2001) pp. 597-608. http://gdmltest.u-ga.fr/item/BUMI_2001_8_4B_3_597_0/
[C] Presenting the graded Nottingham Lie algebra, J. Algebra, 198, no. 1 (1997), 266-289. | MR 1482983 | Zbl 0977.17016
,[C1] Thin groups of prime-power order and thin Lie algebras: an addendum, Quart. J. Math. Oxford Ser. (2), 49 (1998), no. 196, 445-450. | MR 1660053 | Zbl 0927.17018
,[C2] Loop algebras of Zassenhaus algebras in characteristic three, Israel J. Math., 110 (1999), 61-73. | MR 1750443 | Zbl 0966.17013
,[CJ] Quotients of maximal class of thin Lie algebras. The odd characteristic case, Comm. Algebra, 27, no. 12 (1999), 5741-5748. | MR 1726275 | Zbl 0940.17013
- ,[CM] Some thin Lie algebras related to Albert-Frank algebras and algebras of maximal class, J. Austral. Math. Soc. Ser. A, 67, no. 2 (1999), 157-184. | MR 1717411 | Zbl 0945.17005
- ,[CMN] Graded Lie algebras of maximal class, Trans. Amer. Math. Soc., 349, no. 10 (1997), 4021-4051. | MR 1443190 | Zbl 0895.17031
- - ,[CMNS] Thin groups of prime-power order and thin Lie algebras, Quart. J. Math. Oxford Ser. (2), 47, no. 187 (1996), 279-296. | MR 1412556 | Zbl 0865.20016
- - - ,[CN] Graded Lie algebras of maximal class II, J. Algebra, to appear (2000). | MR 1769297 | Zbl 0971.17015
- ,[GMY] Metabelian thin Lie algebras, submitted (2000). | MR 1838846 | Zbl 1042.17026
- - ,[HNO] ANU -Quotient Program (version 1.4), written in C, available as a share library with GAP and as part of Magma, or from http://wwwmaths.anu.edu.au/services/ftp.html (1997).
- - ,[J] Quotients of maximal class of thin Lie algebras. The case of characteristic two, Comm. Algebra, 27, no. 12 (1999), 5749-5789. | MR 1726276 | Zbl 0940.17014
,[J2] Graded Lie algebras of maximal class III, in preparation (2000). | Zbl 1058.17020
,[KL-GP] 1674 (1996). | MR 1483894 | Zbl 0901.20013
- - , Linear Pro--Groups of Finite Width, Lecture Notes in Mathematics, Springer,[KW] The power of a prime that divides a generalized binomial coefficient, J. Reine Angew. Math., 396 (1989), 212-219. | MR 988552 | Zbl 0657.10008
- ,[L] Sur les congruences des nombres eulériens et des coefficients différentiels des fonctions trigonométriques, suivant un module premier, Bull. Soc. Math. France, 6 (1878), 49-54. | JFM 10.0139.04 | MR 1503769
,[M] Some thin pro--groups, J. Algebra, 220, no 1 (1999), 56-72. | MR 1713453 | Zbl 0940.20032
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