Ask Your Question

Revision history [back]

click to hide/show revision 1
initial version

Setting t=0 in a non-symmetric E-Macdonald polynomial

Suppose I have a non-symmetric E-Macdonald polynomial indexed by, say, $\mu=(0,1,1)$. Then I can write

from sage.combinat.sf.ns_macdonald import E
E([0,1,1])

and I get a polynomial in three variables and with coefficients in $\mathbb{Q}(q,t)$:

((-t + 1)/(-q*t + 1))*x0*x1 + ((-t + 1)/(-q*t + 1))*x0*x2 + x1*x2

However, I am confused about how I can work with this polynomial. For my purposes, I would like to study the specialization $t=0$. It would be really neat if there were some way to get write something like

Epoly(x_0,x_1,x_2,q,t) =...

so I could easily specialize variables as I go along.