Specht property and graded polynomial identities for some non-associative algebras
Graded identities on finite dimensional graded simple Lie álgebras
Visit to the department of mathematics and statistic, USP, 2012
| Full text | |
| Author(s): |
Koshlukov, Plamen
[1]
Total Authors: 1
|
| Affiliation: | [1] Univ Estadual Campinas, IMECC, BR-13083970 Campinas, SP - Brazil
Total Affiliations: 1
|
| Document type: | Journal article |
| Source: | INTERNATIONAL JOURNAL OF ALGEBRA AND COMPUTATION; v. 18, n. 5, p. 825-836, AUG 2008. |
| Web of Science Citations: | 14 |
| Abstract | |
The Lie algebra sl(2)( K) over a field K has a natural grading by Z(2), the cyclic group of order 2. We describe the graded polynomial identities for this grading when the base. eld is infinite and of characteristic different from 2. We exhibit a basis of these identities that consists of one polynomial. In order to obtain this basis we employ methods and results from Invariant theory. As a by-product we obtain finite bases of the graded identities for sl(2)( K) graded by other groups such as Z(2) x Z(2), and by the integers Z. (AU) | |
| FAPESP's process: | 05/60337-2 - Lie and Jordan algebras, their representations and generalizations |
| Grantee: | Ivan Chestakov |
| Support Opportunities: | Research Projects - Thematic Grants |