| dc.creator | Drensky | |
| dc.creator | Vesselin; Koshlukov | |
| dc.creator | Plamen; Machado | |
| dc.creator | Gustavo Grings | |
| dc.date | 2016 | |
| dc.date | 2017-11-13T11:34:07Z | |
| dc.date | 2017-11-13T11:34:07Z | |
| dc.date.accessioned | 2018-03-29T05:48:27Z | |
| dc.date.available | 2018-03-29T05:48:27Z | |
| dc.identifier | Publicationes Mathematicae-debrecen. Kossuth Lajos Tudomanyegyetem, v. 89, p. 125 - 135, 2016. | |
| dc.identifier | 0033-3883 | |
| dc.identifier | WOS:000385027800009 | |
| dc.identifier | 10.5486/PMD.2016.7400 | |
| dc.identifier | http://www.math.unideb.hu/publi/contents.php?szam=89 | |
| dc.identifier | http://repositorio.unicamp.br/jspui/handle/REPOSIP/326365 | |
| dc.identifier.uri | http://repositorioslatinoamericanos.uchile.cl/handle/2250/1363371 | |
| dc.description | Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP) | |
| dc.description | Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq) | |
| dc.description | Recently Machado and Koshlukov have computed the Gelfand Kirillov dimension of the relatively free algebra F-m = F-m(var (sl(2)(K))) of rank m in the variety of algebras generated by the three-dimensional simple Lie algebra sl2 (K) over an infinite field K of characteristic different from 2. They have shown that GKdim(F-m) = 3(m-1). The algebra F-m is isomorphic to the Lie algebra generated by m generic 2 x 2 matrices. Now we give a new proof for GKdim(F-m) using classical results of Procesi and Razmyslov combined with the observation that the commutator ideal of F-m is a module of the center of the associative algebra generated by m generic traceless 2 x 2 matrices. | |
| dc.description | 89 | |
| dc.description | 125 | |
| dc.description | 135 | |
| dc.description | Computational and Combinatorial Methods in Algebra and Applications of the Bulgarian National Science Fund [I02/18] | |
| dc.description | FAPESP [2014/08608-0] | |
| dc.description | CNPq [304632/2015-5] | |
| dc.description | Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP) | |
| dc.description | Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq) | |
| dc.language | English | |
| dc.publisher | Kossuth Lajos Tudomanyegyetem | |
| dc.publisher | Debrecen | |
| dc.relation | Publicationes Mathematicae-Debrecen | |
| dc.rights | fechado | |
| dc.source | WOS | |
| dc.subject | Gelfand Kirillov Dimension | |
| dc.subject | Generic Matrices | |
| dc.subject | Matrix Invariants | |
| dc.subject | Relatively Free Lie Algebras | |
| dc.title | Gk-dimension Of 2 X 2 Generic Lie Matrices | |
| dc.type | Artículos de revistas | |
