Summary: K-Theory 16: 201227, 1999.
c 1999 Kluwer Academic Publishers. Printed in the Netherlands.
K-Theory for the Integer Heisenberg Groups
HELMER ASLAKSEN, SOO TECK LEE and JUDITH PACKER
Department of Mathematics, National University of Singapore, Singapore 119260,
Republic of Singapore. e-mail: email@example.com firstname.lastname@example.org
(Received: October 1996)
Abstract. We give a closed formula for topological K-theory of the homogeneous space N/ ,
where is the standard integer lattice in the simply connected Heisenberg Lie group N of dimension
2n + 1, n +. The main tools in our calculations are obtained by computing diagonal forms for
certain incidence matrices that arise naturally in combinatorics.
Mathematics Subject Classifications (1991): Primary 19L64, 55R20; Secondary 05B20, 20F18.
Key words: K-groups, Heisenberg group, incidence matrices.
Let n be a natural number and let denote the standard integer lattice of the (2n +
1) dimensional simply connected Heisenberg Lie group N. Both of these groups
together with other discrete subgroups of N occur in a wide variety of situations
in representation theory, geometry and mathematical physics. In this paper we will