Prohlížení ČVUT - elektronické publikace dle autora "91a00a66-5727-4fd2-a488-5b6ae4d71675"

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    • AUTOMORPHISMS OF ALGEBRAS AND ORTHOGONAL POLYNOMIALS 

      Autor: Gromada , Daniel; Pošta , Severin
      (České vysoké učení technické v PrazeCzech Technical University in Prague, 2014)
      Suitable automorphisms together with complete classification of representations of some algebras can be used to generate some sets of orthogonal polynomials “at no cost”. This is also the case of nonstandard Klimyk-Gavrilik ...

    • NOTE ON VERMA BASES FOR REPRESENTATIONS OF SIMPLE LIE ALGEBRAS 

      Autor: Pošta , Severin; Havlíček , Miloslav
      (České vysoké učení technické v PrazeCzech Technical University in Prague, 2013)
      We discuss the construction of the Verma basis of the enveloping algebra and of finite dimensional representations of the Lie algebra An. We give an alternate proof of so-called Verma inequalities to the one given in [1] ...

    • THREE-VARIABLE ALTERNATING TRIGONOMETRIC FUNCTIONS AND CORRESPONDING FOURIER TRANSFORMS 

      Autor: Bezubik , Agata; Pošta , Severin
      (České vysoké učení technické v PrazeCzech Technical University in Prague, 2016)
      The common trigonometric functions admit generalizations to any higher dimension, the symmetric, antisymmetric and alternating ones. In this paper, we restrict ourselves to three dimensional generalization only, focusing ...