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Vishal K. Yadav

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Open access Aug 2026

Characterization of Linear Operators on Specific Classes of Algebras

Let s, t, u ≥ 1 be fixed integers and K be a Hilbert space. If G, ∂: A → A are linear mappings that fulfill the following algebraic identity 2G(Xs+t+u) = G(Xs)ψ(Xt+u) + γ(Xs)∂(Xt)ψ(Xu) + γ(Xs+t)∂(Xu) + G(Xu)ψ(Xt+s) + γ(Xu)∂(Xt)ψ(Xs) + γ(Xu+t)∂(Xs). Then G will be a generalized (ψ, γ)-derivation having (ψ, γ)-derivation...

A. Ansari, F. Shujat, Vishal K. Yadav · Contemporary Mathematics · 0 citations

Preprint Aug 2026

Gradings by cyclic groups on classical simple Lie algebras in prime characteristics

We classify, up to isomorphism, gradings by finite cyclic groups on classical simple Lie algebras $\mathfrak{g}$ over an algebraically closed field of arbitrary characteristic. Using the smoothness of the automorphism group scheme $\operatorname{\mathbf{Aut}}\mathfrak{g}$ and correspondence between $\mathbb Z_m$-gradin...

M. Kochetov, Vishal K. Yadav · 0 citations