Y-proper graded cocharacters of upper triangular matrices of order m graded by the m-tuple phi = (0,0,1, ..., m-2)

Centrone, Lucio; Cirrito, Alessio

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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

Y-proper graded cocharacters of upper triangular matrices of order m graded by the m-tuple phi = (0,0,1, ..., m-2)

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Author(s):	Centrone, Lucio ^[1] ; Cirrito, Alessio ^[2] Total Authors: 2
Affiliation:	^[1] Univ Estadual Campinas, IMECC, BR-13083859 Campinas, SP - Brazil ^[2] Univ Palermo, Dipartimento Matemat, I-90123 Palermo - Italy Total Affiliations: 2
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 Opportunities:	Regular Research Grants

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