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National Repository of Grey Literature 2 records found  Search took 0.01 seconds. 
Symplectic Dirac operators on Gr2(C4)
 Hudeček, Štěpán ; Krýsl, Svatopluk (advisor) ; Golovko, Roman (referee)
In this thesis we are presenting a construction of the symplectic Dirac operators as done by Katharina Habermann in 1995. We emphasize the differences with the classical Dirac operators. We are then computing the associated second order operator to the symplectic Dirac operators on the Kähler symmetric space Gr2(C4 ). We have also managed to find a way of inductive computing of its spectrum and we are presenting explicitly a part of the spectrum. 1
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Symmetry and Separation in the case of Laplace operator in low dimensions
 Hudeček, Štěpán ; Krýsl, Svatopluk (advisor) ; Salač, Tomáš (referee)
In this thesis we analyze symmetry operators for partial differential opera- tors, in particular for Laplace and Helmholtz operators in dimension two and three. In both cases an important object is the Lie algebra of the Euclidean group. Separated solutions for partial differential operators are defined and il- lustrated for both of the mentioned operators. Examples of coordinate systems are listed, in which the solution separates. 1
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