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

Author(s)

Centrone, Lucio ^[1] ; Cirrito, Alessio ^[2]

Affiliation

^[1] Univ Estadual Campinas, IMECC, BR-13083859 Campinas, SP - Brazil

^[2] Univ Palermo, Dipartimento Matemat, I-90123 Palermo - Italy

• 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