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EnglishLet UJn(F) be the Jordan algebra of n × n upper triangular matrices over a field F of characteristic zero. This paper is devoted to the study of polynomial identities satisfied by UJ2(F) and UJ3(F). In particular, the goal is twofold. On one hand, we complete the description of G-graded polynomial identities of UJ2(F), where G is a finite abelian group. On the other hand, we compute the Gelfand–Kirillov dimension of the relatively free algebra of UJ2(F) and we give a bound for the Gelfand–Kirillov dimension of the relatively free algebra of UJ3(F).
| Data di pubblicazione: | 2017 |
| Titolo: | A note on cocharacter sequence of Jordan upper triangular matrix algebra |
| Autori: | MARTINO, Fabrizio (Corresponding) |
| Citazione: | Centrone, L., & Martino, F. (2017). A note on cocharacter sequence of Jordan upper triangular matrix algebra. COMMUNICATIONS IN ALGEBRA, 45(4), 1687-1695. |
| Rivista: | |
| Digital Object Identifier (DOI): | http://dx.doi.org/10.1080/00927872.2016.1222408 |
| Abstract: | Let UJn(F) be the Jordan algebra of n × n upper triangular matrices over a field F of characteristic zero. This paper is devoted to the study of polynomial identities satisfied by UJ2(F) and UJ3(F). In particular, the goal is twofold. On one hand, we complete the description of G-graded polynomial identities of UJ2(F), where G is a finite abelian group. On the other hand, we compute the Gelfand–Kirillov dimension of the relatively free algebra of UJ2(F) and we give a bound for the Gelfand–Kirillov dimension of the relatively free algebra of UJ3(F). |
| URL: | https://www.tandfonline.com/doi/full/10.1080/00927872.2016.1222408?scroll=top&needAccess=true |
| Settore Scientifico Disciplinare: | Settore MAT/02 - Algebra |
| Appare nelle tipologie: | 1.01 Articolo in rivista |
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|---|---|---|---|---|
| Centrone Martino CA 2017.pdf | Versione Editoriale | Administrator Richiedi una copia |
http://hdl.handle.net/10447/395910
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