• A mathematical approach to Wick rotations 

      Helleland, Christer (PhD thesis UiS;536, Doctoral thesis, 2020-09)
      In this thesis we define Wick-rotations mathematically using pseudo-Riemannian geometry, and relate Wick-rotations to real geometric invariant theory (GIT). We discover some new results concerning the existence of Wick ...
    • Semisimple Lie Group theory with application in geometric invariant theory 

      Helleland, Christer (Masteroppgave/UIS-TN-IMN/2015;, Master thesis, 2015-06-01)
      The goal of this thesis was to learn about the theory of Lie algebras, Lie groups and some real geometric invariant theory, with emphasis on semisimple Lie group theory. The material in this thesis was not known to me ...
    • Wick-rotations of pseudo-Riemannian Lie groups 

      Helleland, Christer (Peer reviewed; Journal article, 2020)
      We study Wick-rotations of left-invariant metrics on Lie groups, using results from real GIT (Helleland and Hervik, 2018; Helleland and Hervik, 2019). An invariant for Wick-rotation of Lie groups is given, and we describe ...