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Extensions of the Heisenberg group by one-parameter groups of dilations which are subgroups of the affine and the symplectic groups
Author(s)
Schulz, Eckart
Date Issued
February 1, 2015
Type
Article
Abstract
Extensions 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.
Citation
Mathematische Nachrichten, 288(2-3), 309-326, 2015