Irreductible representations of the simple Jordan superalgebra of Grassmann Poisson bracket

Autor(es)

Folleco Solarte, Olmer ^[1] ; Shestakov, Ivan ^{[2, 3]}

Afiliação do(s) autor(es)

^[1] Univ Nacl Colombia, Sede Manizales, Carrera 27, 64-60, Manizales, Caldas - Colombia

^[2] Sobolev Inst Math, Novosibirsk 630090 - Russia

^[3] Univ Sao Paulo, Inst Matemat & Estat, Rua Matao 1010, BR-05508090 Sao Paulo, SP - Brazil

• Tipo de documento: Artigo Científico
• Fonte: Journal of Algebra; v. 455, p. 291-313, JUN 1 2016.
• Citações Web of Science: 0

Resumo

We obtain classification of the irreducible bimodules over the Jordan superalgebra Kan(n), the Kantor double of the Grassmann Poisson superalgebra G(n) on n odd generators, for all n >= 2 and an algebraically closed field of characteristic not equal 2. This generalizes the corresponding result of C. Martinez and E. Zelmanov announced in {[}12] for n > 4 and a field of characteristic zero. (C) 2016 Elsevier Inc. All rights reserved. (AU)

• Processo FAPESP: 14/09310-5 - Estruturas algébricas e suas representações
• Beneficiário: Vyacheslav Futorny
• Modalidade de apoio: Auxílio à Pesquisa - Temático