Tejbir Lohan

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20212026

most citedClassification and Decomposition of Quaternionic Projective Transformations

2 citations · 5 across the 12 of their papers we have counts for

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10 papers · 1 filter

math.GR2026

On strongly reversible elements in the Riordan group

Roksana Słowik, 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.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.GR2023

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.GR2023

Reversibility and Real Adjoint Orbits of Linear Maps

Krishnendu Gongopadhyay, Tejbir Lohan, Chandan Maity

We extend classical results on the classification of reversible elements of the group $GL (n, C)$ (and $GL (n, R)$ ) to $\mathrm{GL}(n, \mathbb{H})…

math.GR2022★ 2 cited

Classification and Decomposition of Quaternionic Projective Transformations

Sandipan Dutta, Krishnendu Gongopadhyay, Tejbir Lohan

We consider the projective linear group $PSL (3, H)$ . We have investigated the reversibility problem in this group and use the reversibility to offer an algebraic c…

math.GR2022

Reversibility of Affine Transformations

Krishnendu Gongopadhyay, Tejbir Lohan, Chandan Maity

An element $g$ in a group $G$ is called reversible if $g$ is conjugate to $g^{- 1}$ in $G$ . An element $g$ in $G$ is strongly reversible if $g$ is conjugate to $g^{- 1}$ by an in…

math.GR2022★ 1 cited

Limit sets of cyclic quaternionic Kleinian groups

Sandipan Dutta, Krishnendu Gongopadhyay, Tejbir Lohan

In this paper, we consider the natural action of $SL (3, H)$ on the quaternionic projective space $P_{H}^{2}$ . Under this action, we investigate l…

math.GR2022

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 $…

math.GR2021★ 2 cited

Reversibility of Hermitian Isometries

Krishnendu Gongopadhyay, Tejbir Lohan

An element $g$ in a group $G$ is called reversible (or real) if it is conjugate to $g^{- 1}$ in $G$ , i.e., there exists $h$ in $G$ such that $g^{- 1} = h g h^{- 1}$ . The element $g$ is ca…

On strongly reversible elements in the Riordan group

Strongly real adjoint orbits of complex symplectic Lie group

Product of two involutions in quaternionic special linear group

Strongly reversible classes in SL(n,C)

Reversibility and Real Adjoint Orbits of Linear Maps

Classification and Decomposition of Quaternionic Projective Transformations

Reversibility of Affine Transformations

Limit sets of cyclic quaternionic Kleinian groups

Real adjoint orbits of special linear groups

Reversibility of Hermitian Isometries

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