Irreductible representations of the simple Jordan superalgebra of Grassmann Poisson bracket

JOURNAL OF ALGEBRA

卷:455

Article

Folleco Solarte, Olmer¹  Shestakov, Ivan^2,3 

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

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

[3] Sobolev Inst Math, Novosibirsk 630090, Russia

关键词: Jordan superalgebra;    Grassmann algebra;    Poisson superalgebra;    Irreducible bimodule;   

DOI  :  10.1016/j.jalgebra.2016.02.001

来源: Elsevier

【 摘 要 】

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.

【 授权许可】

Free