Characterization of Normalizer of Lie Superalgebra and its Application to Control Theory
Optimization and Control
2026-05-22 v1 Mathematical Physics
math.MP
Abstract
The dynamical systems having both bosonic and fermionic variables play an important role in the theory of supersymmetry. This article addresses the control problems including both bosonic and fermionic variables on Lie supergroup as the configuration space. Here, the control systems are characterized using the normalizer of Lie subsuperalgebra of left-invariant vector fields in the Lie superalgebra of all smooth vector fields of Lie supergroup. Then, the linear control system is studied in detail and its controllability criterion is proposed along with suitable examples.
Cite
@article{arxiv.2605.22694,
title = {Characterization of Normalizer of Lie Superalgebra and its Application to Control Theory},
author = {Aroonima Sahoo and Kishor Chandra Pati and Tofan Kumar Khuntia},
journal= {arXiv preprint arXiv:2605.22694},
year = {2026}
}
Comments
20 pages, no figures or tables