Does someone know of any sort of software openly available online which can be used to compute various characteristics of Demazure modules for semisimple Lie algebras? Specifically, I'm interested in dimensions of Demazure modules for type $A$. (To clarify: I have my own implementation of the Demazure character formula, I, however, would like something which has been made public in order to refer to it in a paper.)



Openly available software to work with Demazure modules

```
> bash-3.2$ LiE
> 
> LiE version 2.2.2 created on Oct 22 2018 at 11:36:00 Authors: Arjeh M.
> Cohen, Marc van Leeuwen, Bert Lisser. Purpose: development CWI
> 
> 
> type '?help' for help information type '?' for a list of help entries.
> > p=Demazure(X[1,1],[1,2],A2)
> > p
 1X[-1, 2] +1X[ 0, 0] +1X[ 1,-2] +1X[ 1, 1] +1X[ 2,-1]
> > dim(p,Lie_group(0,2))
>      5
> > quit
> end program

```

