Shashank Vikram Singh

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20242026

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math.GR2025

On real and rational elements in a class of Lie groups

Arunava Mandal, Shashank Vikram Singh

For a class of groups $G$ over a field $F$ , including certain Lie groups, Algebraic groups and finite groups, we provide a general method to determine real and rational el…

math.GR2025

On stable Cartan subgroups of Lie groups

Parteek Kumar, Arunava Mandal, Shashank Vikram Singh

Let $G$ be a connected real Lie group with associated Lie algebra $g$ , and let $Aut (G)$ be the group of (Lie) automorphisms of $G$ . It is noted here that, given a s…