|Pascal Molin on Wed, 24 Jul 2013 15:22:15 +0200|
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|Re: New GP functions qfauto/qfisom etc.|
I just commit a patch that add a number of PARI functions for
automorphisms and isomorphisms of lattices
This is a port of the program ISOM by Bernt Souvignier which implement an
algorithm published in
W. PLESKEN, B. SOUVIGNIER, Computing Isometries of Lattices,
Journal of Symbolic Computation, Volume 24, Issues 3-4, September 1997,
Pages 327-334, ISSN 0747-7171, 10.1006/jsco.1996.0130.
I like to thanks Prof. Souvignier for his permission to use his code in PARI/GP.
The new functions are
qfauto(L): computes the automorphisms of the lattice L given by its Gram matrice.
qfisom(L1,L2): compute an isorphimsm between L1 and L2.
qfisominit(L1): precompute data for faster computation of isomorphisms with L1
qfautoexport(): export the output of qfauto to GAP or MAGMA format (as a matrix
This port is dedicated to Philippe Elbaz-Vincent. Enjoy it!