On the unit group of Z-orders in finite dimensional algebras
Artem Lopatin | Omsk Branch of Institute of Mathematics - Russia
Technique for obtaining the algebraic PTT models, applications and analysis in two...
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| Author(s): |
Total Authors: 2
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| Affiliation: | [1] Univ Estadual Campinas, IMECC, Dept Math, BR-13083859 Campinas, SP - Brazil
Total Affiliations: 1
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| Document type: | Journal article |
| Source: | MONATSHEFTE FUR MATHEMATIK; v. 175, n. 4, p. 543-553, DEC 2014. |
| Web of Science Citations: | 2 |
| Abstract | |
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) | |
| FAPESP's process: | 10/50347-9 - Algebras, representations e applications |
| Grantee: | Ivan Chestakov |
| Support Opportunities: | Research Projects - Thematic Grants |