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arXiv · 2605.22694

Characterization of Normalizer of Lie Superalgebra and its Application to Control Theory

Aroonima Sahoo·Kishor Chandra Pati·Tofan Kumar Khuntia
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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.

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Aroonima Sahoo, Kishor Chandra Pati, Tofan Kumar Khuntia. 2026-05-21. Characterization of Normalizer of Lie Superalgebra and its Application to Control Theory. https://arxiv.org/abs/2605.22694

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