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Re: Usage of **

  • To: mathgroup at smc.vnet.net
  • Subject: [mg84721] Re: Usage of **
  • From: sashap <pavlyk at gmail.com>
  • Date: Fri, 11 Jan 2008 04:42:05 -0500 (EST)
  • References: <fm4sh7$c06$1@smc.vnet.net>

Hi,

I have a quick implementation of the Temperley-Lieb algebra

it is available at  http://tinyurl.com/2nj8fw as 6.0 notebook.

Hope it helps,
Sasha


On Jan 10, 4:37 am, Hauke Reddmann <fc3a... at uni-hamburg.de> wrote:
> 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    fc3a... at uni-hamburg.de
>     Er-a svo gott     sem gott kve=F0a
>     =F6l alda sonum,     =FEv=ED a=F0 f=E6rra veit
>     er fleira drekkur     s=EDns til ge=F0s gumi.



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