Namngam, Kampanat
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Item type:Publication, Extensions of the Heisenberg group by one-parameter groups of dilations which are subgroups of the affine and the symplectic groups(2015-02-01); Schulz, EckartExtensions of the multidimensional Heisenberg group by one-parameter groups of matrix dilations are introduced and classified up to isomorphism. Each group is isomorphic to both, a subgroup of the symplectic group and a subgroup of the affine group, and its metaplectic representation splits into two irreducible subrepresentations, each of which is equivalent to a subrepresentation of the wavelet representation.
