Re: How to do Lie Algebras in Mathematica...
- To: mathgroup at smc.vnet.net
- Subject: [mg20772] Re: [mg20751] How to do Lie Algebras in Mathematica...
- From: Daniel Lichtblau <danl at wolfram.com>
- Date: Thu, 11 Nov 1999 00:22:47 -0500
- References: <199911100517.AAA19751@smc.vnet.net.>
- Sender: owner-wri-mathgroup at wolfram.com
Melih Sener wrote: > > Hi... > > Lets say I want to generate the Lie Algebra [of say su(3)] > on Mathematica without going to explicitly > constucting matrices for the generators... > > So I want Mathematica to "learn" relations like: > > [G_ij , G_kl] = (something)*G_mn > > and I want to define a "commutator product" [A , B] > which is distributive, linear etc. > > So that I can produce expressions for things like > [a*G_12+b*G_23, c*G_33+d*G_13] in an easy way... > [ "Distribute" is useful... but I don't know how to > make mathematica learn to factor coefficents of generators > outside the commutator...] > > What is the best way to do this? > > Thanks, > > Melih Here is a URL to a related mathgroup note I posted last April. http://library.wolfram.com/mathgroup/archives/1999/Apr/msg00029.html You'll want to modify the commutator I used to suite your needs. If the methods in that note do not adequately address your needs let me know and I can think it over some more. Daniel Lichtblau Wolfram Research
- References:
- How to do Lie Algebras in Mathematica...
- From: Melih Sener <melih@ks.uiuc.edu>
- How to do Lie Algebras in Mathematica...