real component group

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William Stein

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Sep 15, 2009, 4:59:42 AM9/15/09
to sagedays17, Soroosh Yazdani, Tom Boothby
Hi Tom and Soroosh,

I implemented some code in Sage to compute the *action* of
Atkin-Lehner operators
on the real component group. It's linked to here

http://wiki.sagemath.org/days17/projects/presagedays/discussion#ComponentGroupsofJ0.28N.29.28R.29andJ1.28N.29.28R.29

or just see http://nt.sagenb.org/home/pub/22/.

I didn't code computing the Hecke operators, but that would be
completely trivial to add.

I tried a few cases to see if it suggested anything, but Im too tired
to prove anything, and I don't understand Merel's argument 100% yet in
the case or prime level, which is a prerequisite.

William

--
William Stein
Associate Professor of Mathematics
University of Washington
http://wstein.org

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