Orthogonal group from a form

Open discussion for MAGMA library (Matrix Algebra on GPU and Multicore Architectures)
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katestange
Posts: 2
Joined: Wed Mar 18, 2015 4:52 pm

Orthogonal group from a form

Post by katestange » Wed Mar 18, 2015 4:59 pm

Hi,

I am new to Magma and the handbook has been helpful to this point but no amount of searching online or in the handbook is answering this question, so I hope you will forgive my asking it.

I would like to create an orthogonal group defined by a particular form on a vector space. I would like to hand Magma a Gram matrix and have it return the corresponding orthogonal group. I cannot figure out how to do this. (I can create a generic orthogonal group, corresponding to the identity matrix, using the built-in functions for classical groups.)

Thank you in advance for any advice.

Kate.

PS - It took no less than a half-dozen attempts to get the Captcha to register. I promise, I'm human!

mgates3
Posts: 918
Joined: Fri Jan 06, 2012 2:13 pm

Re: Orthogonal group from a form

Post by mgates3 » Mon Mar 23, 2015 12:15 pm

I think you are looking for the Magma computational algebra system.
http://magma.maths.usyd.edu.au/magma/

This forum is for the MAGMA linear algebra software.
http://icl.cs.utk.edu/magma/

-mark

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