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Usage of **

  • To: mathgroup at smc.vnet.net
  • Subject: [mg84704] Usage of **
  • From: Hauke Reddmann <fc3a501 at uni-hamburg.de>
  • Date: Thu, 10 Jan 2008 05:35:16 -0500 (EST)

I'm playing with a Temperley-Lieb algebra with three strings,
i.e. an operator o, two generators A and B and a scalar t.
(AoA=t*A,BoB=t*B,AoBoA=A,BoAoB=B.)
Unluckily, AoB!=BoA, *and* I want to define some "mixes"
like w*A+x*B+y*AoB+z*BoA and multiply them, o shall be linear. 
So e.g.  (w*A+x*B)oA=w*(AoA)+x*(BoA)=w*A+x*(BoA).

How to implement? With o=** maybe (but does (x*A)**(y*B)
evaluate to x*y*(A**B)), and can I define "global rules"
that act automatically, just like I*I=-1)? 

-- 
Hauke Reddmann <:-EX8    fc3a501 at uni-hamburg.de
    Er-a svo gott     sem gott kveða 
    öl alda sonum,     því að færra veit 
    er fleira drekkur     síns til geðs gumi.


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