GK dimension of the relatively free algebra for

Autor(es)

Machado, Gustavo Grings ^[1] ; Koshlukov, Plamen ^[1]

Afiliação do(s) autor(es)

^[1] Univ Estadual Campinas, IMECC, Dept Math, BR-13083859 Campinas, SP - Brazil

• Tipo de documento: Artigo Científico
• Fonte: MONATSHEFTE FUR MATHEMATIK; v. 175, n. 4, p. 543-553, DEC 2014.
• Citações Web of Science: 2

Resumo

Let be the Lie algebra of the traceless matrices over an infinite field of characteristic different from 2, denote by the relatively free (also called universal) algebra of rank in the variety of Lie algebras generated by In this paper we compute the Gelfand-Kirillov dimension of the Lie algebra It turns out that whenever one has In order to compute it we use the explicit form of the Hilbert series of described by Drensky. This result is new for ; the case was dealt with by Bahturin in 1979. (AU)

• Processo FAPESP: 10/50347-9 - Álgebras, representações e aplicações
• Beneficiário: Ivan Chestakov
• Modalidade de apoio: Auxílio à Pesquisa - Temático