Theses:

  • [1] Franek, P.: Diploma thesis (Mgr.): Substitutional disorder in systems with correlated f-electrons, KFES MFF UK, Prague, 2003 [Ps]
  • [2] Franek, P.: Dissertation thesis (Ph.D.): Several Dirac operators in parabolic geometry, MU UK, Prague, 2006 [Ps], [Pdf]

    • Articles:

  • [1] Turek, I., Kudrnovsky J., Divis M., Franek P., Bihlmayer G., Blugel S.: First-principles study of the electronic structure and exchange interactions in bcc europium, Phys. Rev. B 68, 2003, Abstract, [Pdf]
  • [2] Franek, P.: Generalized Verma module homomorphisms in singular character, Archivum Mathematicum, Proceedings of the 26th Winter school Geomtry and Physics 2006, Abstract, [Pdf]
  • [3] Franek, P.: Dirac Operator in Two Variables from the Viewpoint of Parabolic Geometry, Advances in Applied Clifford Algebras, Birkhäuser Basel, vol. 17, 2007, Abstract
  • [4] Franek, P.: Generalized Dolbeault complex in parabolic geometry, Journal of Lie Theory 18 (2008) No. 4, 757--774 Abstract
  • [5] Franek, P.: Description of a complex of operators acting between higher spinor modules, Trends in mathematics, Hypercomplex analysys, Springer 2009, 151--164 Abstract
  • [6] Franek, P.: Invariant operators of first order generalizing the Dirac operator in 2 variables, Trends in mathematics, Hypercomplex analysys, Springer 2010, 81--93 Abstract
  • [7] Pazourek, K., Tuček V., Franek P.: Hyperplane section of the complex Cayley plane as the homogenous space F4/P4, preprint
  • [8] Franek P., Ratschan S., Zgliczynski P.: Satisfiability of Systems of Equations of Real Analytic Functions is Quasi-decidable, preprint