Перегляд за автором "Coulembier, K."

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  • Extension Fullness of the Categories of Gelfand-Zeitlin and Whittaker Modules 
    Coulembier, K.; Mazorchuk, V. (Symmetry, Integrability and Geometry: Methods and Applications, 2015)
    We prove that the categories of Gelfand-Zeitlin modules of g=gln and Whittaker modules associated with a semi-simple complex finite-dimensional algebra g are extension full in the category of all g-modules. This is used ...
  • The Fourier Transform on Quantum Euclidean Space 
    Coulembier, K. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    We study Fourier theory on quantum Euclidean space. A modified version of the general definition of the Fourier transform on a quantum space is used and its inverse is constructed. The Fourier transforms can be defined by ...