Reversibility and real adjoint orbits of linear maps

  • Krishnendu Gongopadhyay

    Indian Institute of Science Education and Research (IISER) Mohali, India
  • Tejbir Lohan

    Indian Institute of Science Education and Research (IISER) Mohali, India
  • Chandan Maity

    Indian Institute of Science Education and Research (IISER) Mohali, India
Reversibility and real adjoint orbits of linear maps cover
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Abstract

We extend the classical results on the classification of the reversible elements of the group (and ) to using an infinitesimal version of the classical reversibility, namely adjoint reality in the Lie algebra set-up. We also provide a new proof of such a classification for the general linear groups over and . Further, we classify the real adjoint orbits in the Lie algebra for or .