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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.GR2024
A note on adjoint reality in simple complex Lie algebras
Krishnendu Gongopadhyay, Chandan Maity
Let be a Lie group with Lie algebra . In the paper "Reality of unipotent elements in simple Lie groups, Bull. Sci. Math., 185, 2023, 103261" by K. Gongopadhyay and…