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.