[GAP Forum] testing representations

Vahid Dabbaghian vdabbagh at sfu.ca
Fri May 23 22:32:57 BST 2008

Dear GAP Forum,

Suppose a character chi and an ordinary representation R of G, both of
degree d, are given. One way to test that R is a representation affording
chi is to compute the trace of R(x) for representatives x of conjugacy
classes. In the case that d and the entries of R(x) are large, finding R(x)
and computing the trace is an expensive task. Do you have any suggestion for
a faster way to do this test? 


The IRMACS Centre (ASB 10905)
Simon Fraser University
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E-mail: vdabbagh at sfu.ca

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