Irreductible representations of the simple Jordan superalgebra of Grassmann Poisson bracket

Author(s)

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

Affiliation

^[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

• Document type: Journal article
• Source: Journal of Algebra; v. 455, p. 291-313, JUN 1 2016.
• Web of Science Citations: 0

Abstract

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)

• FAPESP's process: 14/09310-5 - Algebraic structures and their representations
• Grantee: Vyacheslav Futorny
• Support Opportunities: Research Projects - Thematic Grants