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math.GR2024
Strongly real adjoint orbits of complex symplectic Lie group
Tejbir Lohan, Chandan Maity
We consider the adjoint action of the symplectic Lie group on its Lie algebra . An element $X \in \mathfrak{sp}(2n,\mathb…
math.GR2024
Product of two involutions in quaternionic special linear group
Krishnendu Gongopadhyay, Tejbir Lohan, Chandan Maity
An element of a group is called reversible if it is conjugate to its own inverse. Reversible elements are closely related to strongly reversible elements, which can be expressed as…
math.GT2024
Algebraic characterization of reversibility in the quaternionic Möbius group
Krishnendu Gongopadhyay, Tejbir Lohan, Abhishek Mukherjee
An element of a group is called \emph{reversible} if it is conjugate to its inverse. While reversibility in the quaternionic Möbius group has tradition…