Group gradings on the Jordan algebra of upper triangular matrices

Autor(es)

Koshlukov, Plamen ^[1] ; Yasumura, Felipe Yukihide ^[1]

Afiliação do(s) autor(es)

^[1] Univ Estadual Campinas, Dept Math, 651 Sergio Buarque de Holanda, BR-18083859 Campinas, SP - Brazil

• Tipo de documento: Artigo Científico
• Fonte: Linear Algebra and its Applications; v. 534, p. 1-12, DEC 1 2017.
• Citações Web of Science: 1

Resumo

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)

• Processo FAPESP: 13/22802-1 - Identidades graduadas em álgebras de Lie e de Jordan
• Beneficiário: Felipe Yukihide Yasumura
• Modalidade de apoio: Bolsas no Brasil - Doutorado
• Processo FAPESP: 14/09310-5 - Estruturas algébricas e suas representações
• Beneficiário: Vyacheslav Futorny
• Modalidade de apoio: Auxílio à Pesquisa - Temático