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K-Theory for the Integer Heisenberg Groups
Authors:Helmer Aslaksen  Soo Teck Lee and Judith Packer
Institution:(1) Department of Mathematics, National University of Singapore, Singapore, 119260, of Singapore
Abstract:We give a closed formula for topological K-theory of the homogeneous space N/Gamma, where Gamma is the standard integer lattice in the simply connected Heisenberg Lie group N of dimension 2n+1, nepsi 
$$\mathbb{Z}^ +$$
. The main tools in our calculations are obtained by computing diagonal forms for certain incidence matrices that arise naturally in combinatorics.
Keywords:Mathematics Subject Classifications (1991): Primary  K-groups  Heisenberg group  incidence matrices
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