Construction of Some Generalised Modular Symbols

Details Construction of Some Generalised Modular Symbols Construction of Some Generalised Modular Symbols

2004-09-21

arxiv.org/abs/math/0409376v1

Mathematics

Group Theory

18 pages

Scientific paper

We give a criterion for the non-vanishing of some generalised modular
symbols. The criterion is in terms of the non-vanishing of some classes on the
compact dual of the locally symmetric manifold. As an application, we construct
non-zero modular symbols on SL(2n) over an imaginary quadratic extension of
$\Q$, which turn out to be ghost classes.

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