Cocharacters and gradedGelfand-Kirillov dimension for PI-algebras
Graded identities on finite dimensional graded simple Lie álgebras
Mikhail Vladimirovich Zaicev | Moscow State University - Rússia
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Author(s): |
Total Authors: 2
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Affiliation: | [1] Univ Estadual Campinas, IMECC, BR-13083859 Campinas, SP - Brazil
[2] Univ Palermo, Dipartimento Matemat, I-90123 Palermo - Italy
Total Affiliations: 2
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Document type: | Journal article |
Source: | Journal of Algebra; v. 425, p. 546-562, MAR 1 2015. |
Web of Science Citations: | 0 |
Abstract | |
Let F be a field of characteristic 0. We consider the algebra UTm(F) of upper triangular matrices of order m endowed with an elementary Z(m)-grading induced by the m-tuple phi = (0,0,1, ...., m - 2), then we compute its Y-proper graded cocharacter sequence and we give the explicit formulas for the multiplicities in the case m = 2,3,4,5. (C) 2014 Elsevier Inc. All rights reserved. (AU) | |
FAPESP's process: | 13/06752-4 - Cocharacters and gradedGelfand-Kirillov dimension for PI-algebras |
Grantee: | Lucio Centrone |
Support type: | Regular Research Grants |