Aroonima Sahoo | Searcharxiv

arXiv2026

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

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.

math.OC↗

arXiv2023

On G-Derivations of Lie-Yamaguti Algebras

This paper primarily deals with the study of G-derivations associated with Lie-Yamaguti algebras. Taking G as an automorphism group, the concept of G-derivations, which is a derivation under both the bilinear and trilinear operations is defined for Lie-Yamaguti algebras. Then some important properties of G-derivations are studied along with their relationship with other generalized derivations of Lie-Yamaguti algebras.

math.RA↗