| Full text | |
| Author(s): |
Total Authors: 2
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| Affiliation: | [1] Univ Estadual Campinas, Dept Math, 651 Sergio Buarque de Holanda, BR-18083859 Campinas, SP - Brazil
Total Affiliations: 1
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| Document type: | Journal article |
| Source: | Linear Algebra and its Applications; v. 534, p. 1-12, DEC 1 2017. |
| Web of Science Citations: | 1 |
| Abstract | |
Let G be an arbitrary group and let K be a field of characteristic different from 2. We classify the G-gradings on the Jordan algebra UJ(n) of upper triangular matrices of order n over K. It turns out that there are, up to a graded isomorphism, two families of gradings: the elementary gradings (analogous to the ones in the associative case), and the so called mirror type (MT) gradings. Moreover we prove that the G-gradings on UJ(n) are uniquely determined, up to a graded isomorphism, by the graded identities they satisfy. (C) 2017 Elsevier Inc. All rights reserved. (AU) | |
| FAPESP's process: | 13/22802-1 - Graded identities in Lie and Jordan algebras |
| Grantee: | Felipe Yukihide Yasumura |
| Support Opportunities: | Scholarships in Brazil - Doctorate |
| FAPESP's process: | 14/09310-5 - Algebraic structures and their representations |
| Grantee: | Vyacheslav Futorny |
| Support Opportunities: | Research Projects - Thematic Grants |