English

Gradings and Symmetries on Heisenberg type algebras

Rings and Algebras 2019-09-04 v1

Abstract

We describe the fine (group) gradings on the Heisenberg algebras, on the Heisenberg superalgebras and on the twisted Heisenberg algebras. We compute the Weyl groups of these gradings. Also the results obtained respect to Heisenberg superalgebras are applied to the study of Heisenberg Lie color algebras.

Keywords

Cite

@article{arxiv.1405.4093,
  title  = {Gradings and Symmetries on Heisenberg type algebras},
  author = {A. Calderón and C. Draper and C. Martín and T. Sánchez},
  journal= {arXiv preprint arXiv:1405.4093},
  year   = {2019}
}