Hi,

There are two emails below that are responses to the email about
Lie Groups that shouldn't have been posted on sage-edu... The
responses probably never made it back to the original poster, so
I'm posting them here.

William

---------- Forwarded message ----------
From: sage-combinat-devel group <[EMAIL PROTECTED]>
Date: Nov 12, 2008 3:18 AM
Subject: 2 new messages in 1 topic - digest
To: sage-combinat-devel digest subscribers
<[EMAIL PROTECTED]>



 sage-combinat-devel
 http://groups.google.com/group/sage-combinat-devel?hl=en

 [EMAIL PROTECTED]

 Today's topics:

 * Fwd: [sage-edu] Question on Lie Groups/Algebras - 2 messages, 2 authors
  
http://groups.google.com/group/sage-combinat-devel/browse_thread/thread/2d660d4d6bc3a581?hl=en

 ==============================================================================
 TOPIC: Fwd: [sage-edu] Question on Lie Groups/Algebras
 
http://groups.google.com/group/sage-combinat-devel/browse_thread/thread/2d660d4d6bc3a581?hl=en
 ==============================================================================

 == 1 of 2 ==
 Date: Mon, Nov 10 2008 10:24 pm
 From: mabshoff




 On Nov 10, 10:01 pm, "William Stein" <[EMAIL PROTECTED]> wrote:
 > Dan Bump,
 >
 > This message (to sage-edu!?) looks like it might be more appropriate
 > at sage-combinat or to Dan Bump.  Is this the sort of thing that
 > Sage can do natively now without using lie?

 For the record: Sage does have a working lie interface and we do have
 an optional lie.spkg. IIRC it was Mike's work. While testing doctests
 with optional tests enabled the doctests besides a trivial issue
 (introspection does not doctest correctly due to additional commands)
 pass, so I guess this is good news.

 Cheers,

 Michael



 == 2 of 2 ==
 Date: Tues, Nov 11 2008 5:08 pm
 From: Daniel Bump



 There is functionality for some Lie theoretic computations
 in Sage. There are facilities for working with roots and
 weights, action of Weyl group on weight lattice, decompose
 tensor products of irreducible representations into
 irreducibles, and branching rules.

 There is also a program called LiE that is not built-in with
 Sage but which you can interface to. That program is no longer
 maintained but is fairly powerful.

 > What I want to do is very simple.
 >
 > 1. Generate a Special Orthogonal Group - SO(4)
 > 2. List Basis vectors
 > 3. Generate Lie Algebra
 > 4. Generate Representation
 > 5. Solve the secular equation
 >
 > using Sage's lie package. Not having much luck with documentation.
 > Appreciate any clear directions.

 Despite this description, I'm not exactly sure what you want to do.
 For example, when you say list basis vectors, basis vector of
 what - the Lie algebra or some particular module?

 If you could you give a sample computation then maybe we
 can give you an opinion as to if it can be done in Sage 3.1.4.

 Daniel Bump








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

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