Tejbir Lohan

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20242026

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math.GR2026

Selected facts on products of two involutions in the Riordan group

Roksana SÅowik, Tejbir Lohan

An element of a group is called \emph{reversible} if it is conjugate to its inverse, and \emph{strongly reversible} if it can be expressed as a product of two involutions. We study…

math.GR2025

Strongly reversible classes in $SL (n, C)$

Krishnendu Gongopadhyay, Tejbir Lohan, Chandan Maity

An element of a group is called $strongly reversible$ or $strongly real$ if it can be expressed as a product of two involutions. We provide necessary and sufficie…

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 $Sp (2 n, C)$ on its Lie algebra $sp (2 n, C)$ . 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

Real adjoint orbits of special linear groups

Krishnendu Gongopadhyay, Tejbir Lohan, Chandan Maity

Let $G$ be a Lie group with Lie algebra $g$ . An element $X \in g$ is called $Ad_{G}$ -real if $- X = g X g^{- 1}$ for some $g \in G$ . Moreover, if $…

Selected facts on products of two involutions in the Riordan group

Strongly reversible classes in SL(n,C)

Strongly real adjoint orbits of complex symplectic Lie group

Product of two involutions in quaternionic special linear group

Real adjoint orbits of special linear groups

Strongly reversible classes in $SL (n, C)$