Defining relations and flip Dynkin superdiagrams
Mathematical Physics
2013-07-30 v2 High Energy Physics - Theory
math.MP
Representation Theory
Abstract
The motivation comes from boson fermion correspondence. This article shows for each fermionic root there is correspondence a bosonic root, as a result we get for each Dynkin diagram of Lie Superalgebra a corresponding flip Dynkin Superdiagram. This article construct all the filp Dynkin Superdiagrams of Lie superalgebras(LS). This can create non conjugate classes Borel subalgebra (subsuperalgebras) or non isomorphic Dynkin diagrams of LS using \in\delta sequences. We have got the defining relations for the both the Dynkin diagrams and flip Dynkin diagrams.
Keywords
Cite
@article{arxiv.1305.7184,
title = {Defining relations and flip Dynkin superdiagrams},
author = {B. Ransingh},
journal= {arXiv preprint arXiv:1305.7184},
year = {2013}
}
Comments
preliminary version