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math.GR2023
Strongly reversible classes in
Krishnendu Gongopadhyay, Tejbir Lohan, Chandan Maity
An element of a group is called or if it can be expressed as a product of two involutions. We provide necessary and sufficie…
math.GR2023
On the third and fourth Betti numbers of a homogeneous space of a Lie group
Indranil Biswas, Pralay Chatterjee, Chandan Maity
In the paper "The second cohomology of nilpotent orbits in classical Lie algebras, Kyoto J. Math. 60 (2020), no. 2, 717-799" by I. Biswas, P. Chatterjee, and C. Maity, explicit des…
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 (and ) to $\mathrm{GL}(n, \mathbb{H})…